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1

Mchedlov-Petrosyan, P. O., and L. N. Davydov. "Exact solutions for a nonstandard viscous Cahn—Hilliard system." Reports of the National Academy of Sciences of Ukraine, no. 7 (July 28, 2017): 37–42. http://dx.doi.org/10.15407/dopovidi2017.07.037.

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2

V., Yugandhar. "Smart Instructive Healthcare System with Advanced Solutions for Caretaker." International Journal of Psychosocial Rehabilitation 24, no. 5 (April 20, 2020): 3448–52. http://dx.doi.org/10.37200/ijpr/v24i5/pr202055.

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3

Kishore, M. Vijai, and Achal Garg. "Issues and Solutions of Drainage System for Dehradun City." Indian Journal of Applied Research 4, no. 4 (October 1, 2011): 152–53. http://dx.doi.org/10.15373/2249555x/apr2014/46.

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4

Grabinger, R. Scott. "Structuring knowledge for expert system solutions. The solution matrix." Performance + Instruction 28, no. 3 (March 1989): 38–42. http://dx.doi.org/10.1002/pfi.4170280312.

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5

Čermák, Jan. "Note on simultaneous solutions of a system of Schröder's equations." Mathematica Bohemica 120, no. 3 (1995): 225–36. http://dx.doi.org/10.21136/mb.1995.126006.

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6

Mekhdiyeva, I. F., K. N. Babanly, M. A. Mahmudova, and S. Z. Imamaliyeva. "THE Tl9ErTe6–Tl9BiTe6 SYSTEM AND SOME PROPERTIES OF SOLID SOLUTIONS." Azerbaijan Chemical Journal, no. 2 (2018): 80–84. http://dx.doi.org/10.32737/0005-2531-2018-2-80-84.

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7

N, Dr Chitra Kiran, Mr Suhas Suresh, and Mrs Suchira Suresh. "Vulnerability, threats, and attacks in E-Payments System: Security Solutions." International Journal of Psychosocial Rehabilitation 24, no. 04 (February 28, 2020): 829–39. http://dx.doi.org/10.37200/ijpr/v24i4/pr201056.

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8

GUTENEV, V. V. "«DOMESTIC BUSINESS — SYSTEM SOLUTIONS»." Scientific Works of the Free Economic Society of Russia 224, no. 4 (2020): 34–41. http://dx.doi.org/10.38197/2072-2060-2020-224-4-34-41.

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9

Heggemann, Marc. "Optimizing system upgrade solutions." World Pumps 2013, no. 2 (February 2013): 32–34. http://dx.doi.org/10.1016/s0262-1762(13)70064-6.

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10

Shipp, D., J. Shippard, and A. Martinez. "Power system study solutions." IEEE Industry Applications Magazine 11, no. 5 (September 2005): 22–32. http://dx.doi.org/10.1109/mia.2005.1502470.

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11

Emadossadaty, Shireen, Bhavini Shah, and Navkiran Kaur. "Complex system, simple solutions." British Journal of Hospital Medicine 73, no. 1 (January 2012): 58. http://dx.doi.org/10.12968/hmed.2012.73.1.58.

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12

Ek, David, and Anders Forsgren. "Approximate solution of system of equations arising in interior-point methods for bound-constrained optimization." Computational Optimization and Applications 79, no. 1 (February 16, 2021): 155–91. http://dx.doi.org/10.1007/s10589-021-00265-8.

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Анотація:
AbstractThe focus in this paper is interior-point methods for bound-constrained nonlinear optimization, where the system of nonlinear equations that arise are solved with Newton’s method. There is a trade-off between solving Newton systems directly, which give high quality solutions, and solving many approximate Newton systems which are computationally less expensive but give lower quality solutions. We propose partial and full approximate solutions to the Newton systems. The specific approximate solution depends on estimates of the active and inactive constraints at the solution. These sets are at each iteration estimated by basic heuristics. The partial approximate solutions are computationally inexpensive, whereas a system of linear equations needs to be solved for the full approximate solution. The size of the system is determined by the estimate of the inactive constraints at the solution. In addition, we motivate and suggest two Newton-like approaches which are based on an intermediate step that consists of the partial approximate solutions. The theoretical setting is introduced and asymptotic error bounds are given. We also give numerical results to investigate the performance of the approximate solutions within and beyond the theoretical framework.
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13

Fish, A. J. "Multiple Solutions for a Class of Continuous Nonlinear Systems." Journal of Dynamic Systems, Measurement, and Control 108, no. 2 (June 1, 1986): 96–105. http://dx.doi.org/10.1115/1.3143763.

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Анотація:
A nonlinear state space representation of a nonlinear system implies that the system has a unique solution for a given set of initial conditions and system controls. But not all nonlinear systems have unique solutions for a given set of initial conditions and system controls. This paper presents an algebraic theory for solving continuous nonlinear systems equations that have multiple solutions.
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14

Elaggoune, Zakarya, Ramdane Maamri, and Imane Boussebough. "The Multi-Agent System Solutions for Big Multi-sensor Data Management." Journal of Ubiquitous Systems and Pervasive Networks 11, no. 2 (June 10, 2019): 23–29. http://dx.doi.org/10.5383/juspn.11.02.004.

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15

S., Dr Arunkumar. "Cryptography based Security Solutions to IOT Enabled Health Care Monitoring System." Journal of Advanced Research in Dynamical and Control Systems 12, no. 7 (July 20, 2020): 265–72. http://dx.doi.org/10.5373/jardcs/v12i7/20202008.

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16

This, Hervé. "Solutions are solutions, and gels are almost solutions." Pure and Applied Chemistry 85, no. 1 (September 10, 2012): 257–76. http://dx.doi.org/10.1351/pac-con-12-01-01.

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Анотація:
Molecular gastronomy is the scientific discipline that looks for mechanisms of phenomena occurring during dish preparation and consumption. Solutions are studied because most foods, being based on animal and plant tissues, are gels, with a liquid fraction and a continuous solid phase. This is why food can be studied in situ using liquid NMR spectroscopy in the frequency domain (isq NMR). Using such tools, processes of the kind F@M → F' @ M' (where F stands for the food matrix, M for its environment, and @ for inclusion) were investigated for various processes as classified using the complex disperse system/non-periodical organization of space formalism (“disperse systems formalism”, DSF). As an application of these studies, “note by note cuisine” was promoted as a new paradigm for culinary activities.
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17

Abdelkafi, Nizar, and Romy Hilbig. "Innovation in Service System Solutions." International Journal of Service Science, Management, Engineering, and Technology 4, no. 2 (April 2013): 78–91. http://dx.doi.org/10.4018/jssmet.2013040106.

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Анотація:
Service innovations are regarded as important drivers in the Europe 2020 Strategy. They are recognized to have a powerful potential to transform entire regions and sectors in Europe. The European Union (EU) and its member states are currently launching initiatives and programs that focus on leveraging service innovation to achieve so-called smart specialization of regions. This paper explains the transformative power of service innovation, a concept introduced recently by the European commission. First, it reviews the literature on service innovation. It concludes that service innovation is a multidimensional concept that combines offering, process, and business model innovations. It focuses, in particular, on the business model approach and introduces a new taxonomy for business models of the providers of service system solutions. Then, the paper provides an overview of selected EU initiatives and programs to foster service innovation. By means of the case of electric mobility in Germany, the authors show how business models of service system solution providers can transform model regions and sectors in the EU. The Input-Throughput-Output model is drawn to explain the transformation process due to services in the case of electric mobility in Saxony, Germany.
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18

Oleg, Zubelevich. "Periodic solutions to Lagrangian system." Commentationes Mathematicae Universitatis Carolinae 59, no. 2 (July 13, 2018): 241–51. http://dx.doi.org/10.14712/1213-7243.2015.243.

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19

Hodge, B. K., and Robert P. Taylor. "Piping-system solutions using Mathcad." Computer Applications in Engineering Education 10, no. 2 (2002): 59–78. http://dx.doi.org/10.1002/cae.10010.

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20

Thejll, Peter. "Linear System with Positive Solutions." SIAM Review 33, no. 3 (September 1991): 472–73. http://dx.doi.org/10.1137/1033104.

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21

Jun-Ting, Pan, and Gong Lun-Xun. "Exact Solutions to Maccari's System." Communications in Theoretical Physics 48, no. 1 (July 2007): 7–10. http://dx.doi.org/10.1088/0253-6102/48/1/002.

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22

Zhang, Xiaoen, Tao Xu, and Yong Chen. "Hybrid solutions to Mel’nikov system." Nonlinear Dynamics 94, no. 4 (September 1, 2018): 2841–62. http://dx.doi.org/10.1007/s11071-018-4528-z.

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23

SUZUKI, MASAYASU, and NOBORU SAKAMOTO. "CONTROLLING IDEAL TURBULENCE IN TIME-DELAYED CHUA'S CIRCUIT: STABILIZATION AND SYNCHRONIZATION." International Journal of Bifurcation and Chaos 20, no. 05 (May 2010): 1351–63. http://dx.doi.org/10.1142/s0218127410026526.

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Анотація:
We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions. This system is a distributed parameter system in which ideal turbulence, introduced by Sharkovsky et al., occurs. Although the behavior of the system is quite intricate both in time and space, by using d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation. In this report, based on this analytical method using d'Alembert's solution, we design control laws to stabilize steady solutions (equilibrium solutions and periodic solutions) and synchronize a pair of identical systems.
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24

Leech, C. M., and B. Tabarrok. "Nonseparable Solutions to the Hamilton-Jacobi Equation." Journal of Applied Mechanics 64, no. 3 (September 1, 1997): 636–41. http://dx.doi.org/10.1115/1.2788940.

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Анотація:
The Hamilton-Jacobi partial differential equation is solved for potential energy functionals of constant, linear, and quadratic form using a class of nonseparable solutions; these solutions give a geometric property to the generating solution, embedding it into the class of conics. These solutions have two basic components, that designated as a kernel component which belongs to the system regardless of the specific dynamics of the system and the primary and secondary system functions that are dependent on the specific initial conditions. Solutions are obtained for the linear oscillator, a rheonomic oscillator and a two-degree-of-freedom system, the latter suggesting an approach for general multidegree-of-freedom systems.
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25

Feireisl, Eduard, Elisabetta Rocca, Giulio Schimperna, and Arghir Zarnescu. "On a hyperbolic system arising in liquid crystals modeling." Journal of Hyperbolic Differential Equations 15, no. 01 (March 2018): 15–35. http://dx.doi.org/10.1142/s0219891618500029.

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We consider a model of liquid crystals, based on a nonlinear hyperbolic system of differential equations, that represents an inviscid version of the model proposed by Qian and Sheng. A new concept of dissipative solution is proposed, for which a global-in-time existence theorem is shown. The dissipative solutions enjoy the following properties: (i) they exist globally in time for any finite energy initial data; (ii) dissipative solutions enjoying certain smoothness are classical solutions; (iii) a dissipative solution coincides with a strong solution originating from the same initial data as long as the latter exists.
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26

Ondich, Jeffrey. "The reducibility of partially invariant solutions of systems of partial differential equations." European Journal of Applied Mathematics 6, no. 4 (August 1995): 329–54. http://dx.doi.org/10.1017/s0956792500001881.

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Ovsiannikov's partially invariant solutions of differential equations generalize Lie's group invariant solutions. A partially invariant solution is only interesting if it cannot be discovered more readily as an invariant solution. Roughly, a partially invariant solution that can be discovered more directly by Lie's method is said to be reducible. In this paper, I develop conditions under which a partially invariant solution or a class of such solutions must be reducible, and use these conditions both to obtain non-reducible solutions to a system of hyperbolic conservation laws, and to demonstrate that some systems have no non-reducible solutions. I also demonstrate that certain elliptic systems have no non-reducible solutions.
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27

MARCOV, Nicolae. "Analytical solutions of a particular Hill's differential system." INCAS BULLETIN 11, no. 1 (March 5, 2019): 121–29. http://dx.doi.org/10.13111/2066-8201.2019.11.1.9.

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Анотація:
Consider a second order differential linear periodic equation. This equation is recast as a first-order homogeneous Hill’s system. For this system we obtain analytical solutions in explicit form. The first solution is a periodic function. The second solution is a sum of two functions; the first is a continuous periodic function, but the second is an oscillating function with monotone linear increasing amplitude. We give a formula to directly compute the slope of this increase, without knowing the second numerical solution. The periodic term of second solution may be computed directly. The coefficients of fundamental matrix of the system are analytical functions.
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28

Li, Jibin, and Guanrong Chen. "More on Bifurcations and Dynamics of Traveling Wave Solutions for a Higher-Order Shallow Water Wave Equation." International Journal of Bifurcation and Chaos 29, no. 01 (January 2019): 1950014. http://dx.doi.org/10.1142/s0218127419500147.

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Анотація:
This paper studies the dynamics of traveling wave solutions to a shallow water wave model with a large-amplitude regime in phase space. The corresponding traveling wave system is a singular planar dynamical system with two singular straight lines. By using the method of dynamical systems, bifurcation diagrams are obtained. The existence of solitary wave solutions, periodic wave solutions, peakon, pseudo-peakon solution, periodic peakon solutions and compacton solutions are determined under different parameter conditions.
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29

Li, Jibin, Guanrong Chen, and Jie Song. "Bifurcations and Dynamics of Traveling Wave Solutions for the Regularized Saint-Venant Equation." International Journal of Bifurcation and Chaos 30, no. 07 (June 15, 2020): 2050109. http://dx.doi.org/10.1142/s0218127420501096.

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Анотація:
This paper studies the bifurcations of phase portraits for the regularized Saint-Venant equation (a two-component system), which appears in shallow water theory, by using the theory of dynamical systems and singular traveling wave techniques developed in [Li & Chen, 2007] under different parameter conditions in the two-parameter space. Some explicit exact parametric representations of the solitary wave solutions, smooth periodic wave solutions, periodic peakons, as well as peakon solutions, are obtained. More interestingly, it is found that the so-called [Formula: see text]-traveling wave system has a family of pseudo-peakon wave solutions, and their limiting solution is a peakon solution. In addition, it is found that the [Formula: see text]-traveling wave system has two families of uncountably infinitely many solitary wave solutions and compacton solutions.
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30

Bartušek, Miroslav. "On oscillatory solutions of the system of differential equations with deviating arguments." Czechoslovak Mathematical Journal 35, no. 4 (1985): 529–32. http://dx.doi.org/10.21136/cmj.1985.102046.

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31

Akbayeva, G., N. Ramashov, and A. Ramashova. "Internationalization of higher education system in Republic of Kazakhstan: problems, trends, solutions." Bulletin of the Karaganda University. Pedagogy series 102, no. 2 (June 29, 2021): 119–27. http://dx.doi.org/10.31489/2021ped2/119-127.

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Анотація:
In this article the authors investigated the transformation and integration of the higher education system of the Republic of Kazakhstan, as a new approach to solving the problems of education in the world practice caused the need for a radical revision of organizational, structural, ideological aspects, updating the content of education, increasing the quality requirements for training specialists in accordance with the current stage of development of Kazakhstan society and global integration processes in the world educational space. In this regard, the article also analyzes the actualization and the problem of professional training of foreign students in the main areas of higher education: the solutions to such problems as the internationalization of education and the coordination of the activities of the legislative and executive bodies of states in the field of education, and the possibility of organizing a unified system of continuing education and improving the quality of education at all its levels were considered. The authors determined the genesis of the development of professional training of foreign students in higher education institutions of Kazakhstan, motivated by the dependence of education on the needs of society, its economy and national and cultural characteristics; as well as the dependence of the choice of the country of study on the “intellectuality” of the environment, and also made a forecast of the prospects for the development of professional training of foreign students and the internationalization of higher education in general.
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32

Seyidzade, А. E., A. A. Aghayeva, E. N. Orujlu, and S. Z. Imamaliyeva. "THERMODYNAMIC PROPERTIES OF Sb2Te3-BASED SOLID SOLUTIONS IN THE SnTe–Sb2Te3 SYSTEM." Azerbaijan Chemical Journal, no. 1 (March 15, 2022): 83–88. http://dx.doi.org/10.32737/0005-2531-2022-1-83-88.

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Анотація:
The SnTe–Sb2Te3 system was investigated by using EMF measurements of reversible concentration cells relative to the SnTe electrode in the 300–400 K temperature range. The formation of solid solutions (up to 20 mol%) based on Sb2Te3 was confirmed. Based on EMF measurements, the equations of the temperature dependences of the EMF for solid solutions based on Sb2Te3 with compositions of 5, 10, and 20 mol% SnTe were obtained and these results were furtherly used to calculate the partial thermodynamic functions of SnTe in alloys. The standard thermodynamic functions of the formation of solid solutions of the above compositions were calculated by graphical integration of the Gibbs-Duhem equation along the SnTe–Sb2Te3 section
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33

Lebed, Igor V. "Evolution of unstable system." JOURNAL OF ADVANCES IN PHYSICS 9, no. 3 (July 23, 2015): 2487–502. http://dx.doi.org/10.24297/jap.v9i3.1349.

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Анотація:
Scenario of appearance and development of instability in problem of a flow around a solid sphere at rest is discussed. The scenario was created by solutions to the multimoment hydrodynamics equations, which were applied to investigate the unstable phenomena. These solutions allow interpreting Stokes flow, periodic pulsations of the recirculating zone in the wake behind the sphere, the phenomenon of vortex shedding observed experimentally. In accordance with the scenario, system loses its stability when entropy outflow through surface confining the system cannot be compensated by entropy produced within the system. The system does not find a new stable position after losing its stability, that is, the system remains further unstable. As Reynolds number grows, one unstable flow regime is replaced by another. The replacement is governed tendency of the system to discover fastest path to depart from the state of statistical equilibrium. This striving, however, does not lead the system to disintegration. Periodically, reverse solutions to the multimoment hydrodynamics equations change the nature of evolution and guide the unstable system in a highly unlikely direction. In case of unstable system, unlikely path meets the direction of approaching the state of statistical equilibrium. Such behavior of the system contradicts the scenario created by solutions to the classic hydrodynamics equations. Unstable solutions to the classic hydrodynamics equations are not fairly prolonged along time to interpret experiment. Stable solutions satisfactorily reproduce all observed stable medium states. As Reynolds number grows one stable solution is replaced by another. They are, however, incapable of reproducing any of unstable regimes recorded experimentally. In particular, stable solutions to the classic hydrodynamics equations cannot put anything in correspondence to any of observed vortex shedding modes. In accordance with our interpretation, the reason for this isthe classic hydrodynamics equations themselves.
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34

Zhang, Guang, and Liang Bai. "Existence of Solutions for a Nonlinear Algebraic System." Discrete Dynamics in Nature and Society 2009 (2009): 1–28. http://dx.doi.org/10.1155/2009/785068.

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Анотація:
As well known, the existence and nonexistence of solutions for nonlinear algebraic systems are very important since they can provide the necessary information on limiting behaviors of many dynamic systems, such as the discrete reaction-diffusion equations, the coupled map lattices, the compartmental systems, the strongly damped lattice systems, the complex dynamical networks, the discrete-time recurrent neural networks, and the discrete Turing models. In this paper, both the existence of nonzero solution pairs and the nonexistence of nontrivial or nonzero solutions for a nonlinear algebraic system will be considered by using the critical point theory and Lusternik-Schnirelmann category theory. The process of proofs on the obtained results is simple, the conditions of theorems are also easy to be verified, however, some of them improve the known ones even if the system is reduced to the precial cases, in particular, others of them are still new.
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35

Zhang, Yu, Morteza Saberi, Min Wang, and Elizabeth Chang. "K3S: Knowledge-Driven Solution Support System." Proceedings of the AAAI Conference on Artificial Intelligence 33 (July 17, 2019): 9873–74. http://dx.doi.org/10.1609/aaai.v33i01.33019873.

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Анотація:
As the volume of scientific papers grows rapidly in size, knowledge management for scientific publications is greatly needed. Information extraction and knowledge fusion techniques have been proposed to obtain information from scholarly publications and build knowledge repositories. However, retrieving the knowledge of problem/solution from academic papers to support users on solving specific research problems is rarely seen in the state of the art. Therefore, to remedy this gap, a knowledge-driven solution support system (K3S) is proposed in this paper to extract the information of research problems and proposed solutions from academic papers, and integrate them into knowledge maps. With the bibliometric information of the papers, K3S is capable of providing recommended solutions for any extracted problems. The subject of intrusion detection is chosen for demonstration in which required information is extracted with high accuracy, a knowledge map is constructed properly, and solutions to address intrusion problems are recommended.
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36

Chandrasekaran, R. "Integer Farkas Lemma." International Game Theory Review 17, no. 01 (March 2015): 1540003. http://dx.doi.org/10.1142/s0219198915400034.

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Анотація:
Farkas type results are available for solutions to linear systems. These can also include restrictions such as nonnegative solutions or integer solutions. They show that the unsolvability can be reduced to a single constraint that is not solvable and this condition is implied by the original system. Such a result does not exist for integer solution to inequality system because a single inequality is always solvable in integers. But a single equation that does not have nonnegative integer solution exists. We present some cases when polynomial algorithms to find nonnegative integer solutions exist.
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37

Rajala, Risto, Saara A. Brax, Ari Virtanen, and Anna Salonen. "The next phase in servitization: transforming integrated solutions into modular solutions." International Journal of Operations & Production Management 39, no. 5 (August 15, 2019): 630–57. http://dx.doi.org/10.1108/ijopm-04-2018-0195.

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Анотація:
Purpose The purpose of this paper is to identify integrated solutions business as the first generation of servitized offerings and modular solution offerings as the second development phase in servitization of original equipment manufacturers. This study examines how the servitized manufacturer, Kone, moves from integrated solutions to modular solutions business and develops the requisite capabilities to design, produce and implement modular solution offerings. Design/methodology/approach The paper reports a longitudinal case study of a provider of integrated solutions installed in buildings. During the ten years studied, the manufacturer implemented a strategic initiative to modularize its integrated solutions offering. Findings The firm’s transition to modular solutions progressed through three major capability development phases: solutions based on ad hoc integration, smart solutions based on modular design and through-chain modularity. The modular structure aims at fostering the efficiency of the solution offering and the associated production system. Research limitations/implications Leveraging the benefits of modularity calls for an aligned combination of strategic, operational and technical capabilities contributing to the integration of resources in a modular production system for the solution providers’ competitive performance. Practical implications The study reports how a solution provider can develop the operational capabilities to integrate the core and peripheral components into the solution, and orchestrate the modular production system. Originality/value This study is a rare longitudinal analysis of how a manufacturer builds a modular offering, the solution platform and the required competitive capabilities to provide the solution.
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38

Hong, Yang. "Digital Relaying Algorithm on Substation System Protection." Applied Mechanics and Materials 236-237 (November 2012): 954–57. http://dx.doi.org/10.4028/www.scientific.net/amm.236-237.954.

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Анотація:
The digital relaying algorithm introduced in this paper is able to overcome the deterministic data delivery constraint placed on previous digital relaying solutions. Its performance when applied to a wide range of protective solutions is investigated in the next chapter, confirming its applicability to an integrated power system protection and control solution.
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39

Li, Jibin, and Kit Ian Kou. "Dynamics of Traveling Wave Solutions to a New Highly Nonlinear Shallow Water Wave Equation." International Journal of Bifurcation and Chaos 27, no. 03 (March 2017): 1750044. http://dx.doi.org/10.1142/s0218127417500444.

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Анотація:
In this paper, the dynamics of traveling wave solutions in a shallow water wave model with a regime for large-amplitude is studied. The corresponding traveling wave system is a singular planar dynamical system with one or two singular straight lines. By using the method of dynamical systems, bifurcation diagrams are presented. The existence of solitary wave solutions, periodic wave solutions, quasi-peakon solution, periodic peakon solutions and compacton solutions under different parameter conditions are determined.
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40

De Angelis, Monica. "A priori estimates for solutions of FitzHugh–Rinzel system." Meccanica 57, no. 5 (March 1, 2022): 1035–45. http://dx.doi.org/10.1007/s11012-022-01489-6.

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AbstractThe FitzHugh–Rinzel system is able to describe some biophysical phenomena, such as bursting oscillations, and the study of its solutions can help to better understand several behaviours of the complex dynamics of biological systems. We express the solutions by means of an integral equation involving the fundamental solution H(x, t) related to a non linear integro-differential equation. Properties of H(x, t) allow us to obtain a priori estimates for solutions determined in the whole space, showing both the influence of the initial data and the source term.
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41

YOUNG, ROBIN. "NONUNIQUENESS OF BV SOLUTIONS OF QUASILINEAR HYPERBOLIC SYSTEMS." Journal of Hyperbolic Differential Equations 09, no. 04 (December 2012): 555–70. http://dx.doi.org/10.1142/s021989161250018x.

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We construct examples of one-dimensional quasilinear hyperbolic systems for which the constant state and Riemann problem are unstable under O(1) perturbations in the space BV. We generate a system and solution consisting of three compressions which focus at the same point, resulting in a nonlinear interaction from which no waves emerge. Since this solution is time-reversible, this leads to nontrivial solutions of the system with constant initial data. These solutions are classical in the sense that they do not contain shocks and are discontinuous only at the origin. We then find some elementary necessary conditions for a system in conservative form to exhibit this type of behavior.
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42

Chiu, Y. C., J. Quinlan, and L. E. Ford. "System for automatic activation of skinned muscle fibers." American Journal of Physiology-Cell Physiology 249, no. 5 (November 1, 1985): C522—C526. http://dx.doi.org/10.1152/ajpcell.1985.249.5.c522.

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A system is described for automatically changing the solutions surrounding skinned muscle fibers at a controlled temperature. The system consists of a complex muscle chamber and solenoid valve-controlled vacuum-driven syringe pumps. The chamber has a muscle trough, a conduit for circulating coolant, and channels for precooling solutions. After traveling through the cooling channels, the solutions are injected into one end of the muscle trough and removed by suction at the other. The volume of the trough (approximately 40 microliter) is kept as low as possible to minimize the amount of solution required for complete solution exchange (approximately 400 microliter). Solution changes are complete within 400 ms. The timing of the sequence of solution changes is precisely controlled by digital timers that activate the solenoid valves of the pumps. By exposing the fibers briefly to a high concentration of free calcium and then changing to a buffered calcium solution, it is possible to achieve steady tension levels in 1-2 s, even when partially activating the fibers. Such rapid partial activation is possible because the exposure to free calcium can be precisely timed. The timers also allow the solution changes to be synchronized with other perturbations.
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43

Li, Jibin. "Exact Cuspon and Compactons of the Novikov Equation." International Journal of Bifurcation and Chaos 24, no. 03 (March 2014): 1450037. http://dx.doi.org/10.1142/s0218127414500370.

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In this paper, we apply the method of dynamical systems to the traveling wave solutions of the Novikov equation. Through qualitative analysis, we obtain bifurcations of phase portraits of the traveling system and exact cuspon wave solution, as well as a family of breaking wave solutions (compactons). We find that the corresponding traveling system of Novikov equation has no one-peakon solution.
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44

Kito, Akira, Yuki Mizumachi, Mitsuhiro Sekiguchi, Koichiro Sato, and Yoshiyuki Matsuoka. "Modification Method by Increasing and Decreasing Elements in the Emergent Design System." Advanced Materials Research 422 (December 2011): 807–10. http://dx.doi.org/10.4028/www.scientific.net/amr.422.807.

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This paper describes a modification method which strengthens forms for deriving diverse design solutions in structural design. In the early process of design, diverse design ideas are generated from a global solution search under unclear design conditions. In the past study, we have proposed the emergent design system, which allows a global solution search under limited design conditions to derive diverse design solutions. The proposed system derives geometrically novel in forms, but most of them do not satisfy the evaluation standard so that they are not applicable as solutions. Therefore, if we can modify these forms to applicable solutions, the diversity of applicable solutions would increase. In this paper, we propose a modification method which satisfies the evaluation standard by increasing and decreasing elements, and show the possibility of increasing the diversity of solutions.
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45

Zhang, Wei Xiang, and Qi Xia Liu. "The Symplectic System for Thermo-Viscoelastic Cylinders." Advanced Materials Research 250-253 (May 2011): 3662–65. http://dx.doi.org/10.4028/www.scientific.net/amr.250-253.3662.

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An exact symplectic approach is presented for the isotropic viscoelastic solids subjected to external force and temperature boundary conditions. With the use of the method of separation of variables, all the general solutions of the governing equations are derived in the Laplace domain. These general solutions are expressed in concise analytical forms, and are easily to be transformed into the time domain. Accordingly, various boundary conditions can be conveniently described by the combination of the general solutions due to the completeness of the solution space. In the numerical example, the whole character of total creep of the viscoelastic solid is clearly exhibited.
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46

Allahviranloo, T., S. Salahshour, M. Homayoun-nejad, and D. Baleanu. "General Solutions of Fully Fuzzy Linear Systems." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/593274.

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We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-calledgeneral solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.
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47

BARILLON, C., G. M. MAKHVILADZE, and V. VOLPERT. "Stability of stationary solutions for a degenerate parabolic system." European Journal of Applied Mathematics 12, no. 1 (February 2001): 57–75. http://dx.doi.org/10.1017/s0956792501004430.

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The paper is devoted to the stability of stationary solutions of an evolution system, describing heat explosion in a two-phase medium, where a parabolic equation is coupled with an ordinary differential equation. Spectral properties of the problem linearized about a stationary solution are analyzed and used to study stability of continuous branches of solutions. For the convex nonlinearity specific to combustion problems it is shown that solutions on the first increasing branch are stable, solutions on all other branches are unstable. These results remain valid for the scalar equation and they generalize the results obtained before for heat explosion in the radially symmetric case [1].
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48

Wang, Peiguang, and Ying Hou. "Generalized Quasilinearization for the System of Fractional Differential Equations." Journal of Function Spaces and Applications 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/793263.

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This paper considers the initial value problems of the system of fractional differential equations and constructs two monotone sequences of upper and lower solutions. By using quasilinearization technique, monotone sequences of approximate solutions that converge quadratically to a solution are obtained.
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49

BRUBAKER, N. D., and A. E. LINDSAY. "The onset of multi-valued solutions of a prescribed mean curvature equation with singular non-linearity." European Journal of Applied Mathematics 24, no. 5 (February 26, 2013): 631–56. http://dx.doi.org/10.1017/s0956792513000077.

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The existence and multiplicity of solutions to a quasilinear, elliptic partial differential equation with singular non-linearity is analysed. The partial differential equation is a recently derived variant of a canonical model used in the modelling of micro-electromechanical systems. It is observed that the bifurcation curve of solutions terminates at single dead-end point, beyond which no classical solutions exist. A necessary condition for the existence of solutions is developed, revealing that this dead-end point corresponds to a blow-up in the solution's gradient at a point internal to the domain. By employing a novel asymptotic analysis in terms of two small parameters, an accurate characterization of this dead-end point is obtained. An arc length parameterization of the solution curve can be employed to continue solutions beyond the dead-end point; however, all extra solutions are found to be multi-valued. This analysis therefore suggests that the dead-end is a bifurcation point associated with the onset of multi-valued solutions for the system.
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50

Tummala, Suguna. "Aquaponics Systems: Future Food Production System." International Journal of Current Microbiology and Applied Sciences 10, no. 11 (November 10, 2021): 397–406. http://dx.doi.org/10.20546/ijcmas.2021.1011.045.

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Aquaculture being the important source of global animal protein, is the potential food production sector. The ever increasing population worldwide, urbanization, human activities, environmental degradation, social and economic problems drive the need for new, innovative and improved solutions for food production. One pioneering approach that promises to address these problems is Aquaponics. Aquaponics is the integration of recirculatory aquaculture system and hydroponics in one production system. An aquaponic system is established at Fisheries Research Station, Sri Venkateswara Veterinary University, Undi, Bhimavaram, West Godavari district, Andhra Pradesh, India. The future purpose of our study is finding an optimized solution for the Aquaponics systems to produce qualitative (organic) and quantitative food with low production cost, conservation of water efficiently and eco-friendly. This study has covered the designs, theoretical and practical concepts of Aquaponics, ideal conditions, management strategies, compatible aquacultural and horticultural varieties and concept of balancing the unit. This publication will be a supplemental hand out for outreach, extension, education and further research.
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