Relevant bibliographies by topics / Unbounded Coefficients

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Unbounded Coefficients'

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Published: 9 March 2023
Last updated: 11 March 2023

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Journal articles on the topic "Unbounded Coefficients"

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Da Prato, G., and A. Ichikawa. "Riccati equations with unbounded coefficients." Annali di Matematica Pura ed Applicata 140, no. 1 (December 1985): 209–21. http://dx.doi.org/10.1007/bf01776850.

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Greco, Luigi, Gioconda Moscariello, and Teresa Radice. "Nondivergence elliptic equations with unbounded coefficients." Discrete & Continuous Dynamical Systems - B 11, no. 1 (2009): 131–43. http://dx.doi.org/10.3934/dcdsb.2009.11.131.

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Latushkin, Yuri, and Yuri Tomilov. "Fredholm differential operators with unbounded coefficients." Journal of Differential Equations 208, no. 2 (January 2005): 388–429. http://dx.doi.org/10.1016/j.jde.2003.10.018.

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Kudlak, Zachary, and R. Patrick Vernon. "Unbounded rational systems with nonconstant coefficients." Nonautonomous Dynamical Systems 9, no. 1 (January 1, 2022): 307–16. http://dx.doi.org/10.1515/msds-2022-0160.

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Abstract We show the existence of unbounded solutions to difference equations of the form { x n + 1 = c ′ n x n B n y n , y n + 1 = b n x n + c n y n A n + C n y n f o r n = 0 , 1 , … , \left\{ {\matrix{{{x_{n + 1}} = {{{{c'}_n}{x_n}} \over {{B_n}{y_n}}},} \hfill \cr {{y_{n + 1}} = {{{b_n}{x_n} + {c_n}{y_n}} \over {{A_n} + {C_n}{y_n}}}} \hfill \cr } \,\,\,\,\,for} \right.\,\,\,n = 0,1, \ldots , where { c ′ n } n = 0 ∞ \left\{ {{{c'}_n}} \right\}_{n = 0}^\infty , { B ′ n } n = 0 ∞ \left\{ {{{B'}_n}} \right\}_{n = 0}^\infty , { b n } n = 0 ∞ \left\{ {{b_n}} \right\}_{n = 0}^\infty , { c n } n = 0 ∞ \left\{ {{c_n}} \right\}_{n = 0}^\infty , and { A n } n = 0 ∞ \left\{ {{A_n}} \right\}_{n = 0}^\infty are all bounded above and below by positive constants, and { C n } n = 0 ∞ \left\{ {{C_n}} \right\}_{n = 0}^\infty is either bounded above and below by positive constants or is identically zero. In the latter case, we give an example which can be reduced to a system of the form { x n + 1 = x n y n , y n + 1 = x n + γ n y n f o r n = 0 , 1 , … , \left\{ {\matrix{ {{x_{n + 1}} = {{{x_n}} \over {{y_n}}},} \hfill \cr {{y_{n + 1}} = {x_n} + {\gamma _n}{y_n}} \hfill \cr } \,\,\,\,\,for} \right.\,\,\,n = 0,1, \ldots , where 0 < γ′ < γ n < γ < 1 for some constants γ and γ′ for all n. This provides a counterexample to the main result of the 2021 paper by Camouzis and Kotsios.
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Kusano, Takaŝi, and Marko Švec. "On unbounded positive solutions of nonlinear differential equations with oscillating coefficients." Czechoslovak Mathematical Journal 39, no. 1 (1989): 133–41. http://dx.doi.org/10.21136/cmj.1989.102285.

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Czornik, Adam, and Michał Niezabitowski. "Lyapunov exponents for systems with unbounded coefficients." Dynamical Systems 28, no. 2 (June 2013): 140–53. http://dx.doi.org/10.1080/14689367.2012.742038.

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Kunze, Markus, Luca Lorenzi, and Alessandra Lunardi. "Nonautonomous Kolmogorov parabolic equations with unbounded coefficients." Transactions of the American Mathematical Society 362, no. 01 (August 3, 2009): 169–98. http://dx.doi.org/10.1090/s0002-9947-09-04738-2.

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Lorenzi, Luca, and Alessandro Zamboni. "Cores for parabolic operators with unbounded coefficients." Journal of Differential Equations 246, no. 7 (April 2009): 2724–61. http://dx.doi.org/10.1016/j.jde.2008.12.015.

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Zalygina, V. I. "Lyapunov Equivalence of Systems with Unbounded Coefficients." Journal of Mathematical Sciences 210, no. 2 (September 5, 2015): 210–16. http://dx.doi.org/10.1007/s10958-015-2558-3.

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Cicognani, Massimo. "Coefficients with unbounded derivatives in hyperbolic equations." Mathematische Nachrichten 276, no. 1 (October 2004): 31–46. http://dx.doi.org/10.1002/mana.200310210.

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Dissertations / Theses on the topic "Unbounded Coefficients"

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Schwarzenberger, Michael. "Affine Processes and Pseudo-Differential Operators with Unbounded Coefficients." Doctoral thesis, Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-211510.

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The concept of pseudo-differential operators allows one to study stochastic processes through their symbol. This approach has generated many new insights in recent years. However, most results are based on the assumption of bounded coefficients. In this thesis, we study Levy-type processes with unbounded coefficients and, especially, affine processes. In particular, we establish a connection between pseudo-differential operators and affine processes which are well-known from mathematical finance. Affine processes are an interesting example in this field since they have linearly growing and hence unbounded coefficients. New techniques and tools are developed to handle the affine case and then expanded to general Levy-type processes. In this way, the convergence of a simulation scheme based on a Markov chain approximation, results on path properties, and necessary conditions for the symmetry of operators were proven.
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Li, Jiajie. "Backward stochastic differential equations with unbounded coefficients and their applications." Thesis, University of Liverpool, 2014. http://livrepository.liverpool.ac.uk/2010039/.

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In this thesis, we focus on problems on the theory of Backward Stochastic Differential Equations (BSDEs). In particular, BSDEs with an unbounded generator are considered, under various conditions (on the generator). Using more general (or weaker) conditions, the classical results on BSDEs are improved and some associated problems on mathematical finance are resolved. Chapter 1 introduces some of the literature, general setting and ideas in this field and emphasises the motivations which has led to the study of these equations. In addition, some mathematical preliminaries we used throughout this thesis are included in Chapter 2. In Chapter 3, we consider nonlinear BSDEs with an unbounded generator. Under a Lipschitz-type condition, we show sufficient conditions for the existence and uniqueness of solutions to nonlinear BSDEs, which are weaker than the existing ones. We also give a comparison theorem as a generalisation of Peng's result. Chapter 4 studies a class of backward stochastic differential equations whose generator satisfies linear growth and continuity conditions, which can also be unbounded. We prove the existence of the solution pair for this class of equations which is more general than the existing ones. In Chapter 5, we consider the problem of solvability for linear backward stochastic differential equations with unbounded coefficients. New and weaker sufficient conditions for the existence of a unique solution pair are given. It is shown that certain exponential processes have stronger integrability in this case. As applications, we solve the problems of completeness in a market with a possibly unbounded coefficients and optimal investment with power utility in a market with unbounded coefficients. Chapter 6 studies the classical Stochastic Differential Equations where the drift and diffusion coefficients satisfy Lipschitz-type and linear growth conditions, which can also be unbounded. We give sufficient conditions for the existence of a unique solution to unbounded SDEs. The method of proof is that of Picard iterations and the resulting conditions are new. We also prove a comparison theorem. Chapter 7 summaries the results in this thesis and outlines possible directions for future works based on current results.
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Schwarzenberger, Michael A. [Verfasser]. "Affine Processes and Pseudo-Differential Operators with Unbounded Coefficients / Michael A. Schwarzenberger." Aachen : Shaker, 2016. http://d-nb.info/1118258401/34.

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ADDONA, DAVIDE. "Parabolic operators with unbounded coefficients with applications to stochastic optimal control games." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2015. http://hdl.handle.net/10281/76535.

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The aim of this thesis is to improve some results on parabolic Cauchy problems with unbounded coefficients and their connection with stochastic optimal games. In the first part we summarize the recent results on parabolic operators with unbounded coefficients and on stochastic optimal control problem. In particular, in the matter of analyitic results, we recall the main exstence and uniqueness theorems for parabolic Cauchy problems with unbounded coefficients, the gradient estimates for the associated evolution operator, and its continuity and compactness properties. About the stochastic part, we briefly show the strong and weak formulation, which are the settings where the stochastic control problems are located, and we introduce the backward stochastic differential equations, which allow to connect a semilinear Cauchy problem with a class of stochastic control problem. In the second part we prove the existence and uniqueness of a mild solution to a semilinear parabolic Cauchy problem of Hamilton-Jacobi-Bellman (HJB) type. Moreover, we show that the solution to a Forward Backward Stochastic Differential Equation (FBSDE) can be expressed in terms of the solution to the HJB equation. Combining HJB equation and FBSDE, we show that, for a class of stochastic control problemin weak formulation, there exists an optimal control, and by means of the regularity of the solution to the HJB equation, we can identify the feedback law. The third part of the thesis is devoted to the study of a class of system of nonautonomous linear parabolic equations with unbounded coefficients, coupled both at first and zero order. We provide sufficient conditions which guarantee the existence and uniqueness of a classical solution to the Cauchy problem, and throughout this classical solution we define an evolution operator on the space of bounded and continuous functions. Further, we prove continuity properties of the evolution operator and that, under additional hypotheses, it is compact on the space of bounded and continuous functions. In the last chapter, we deal with a semilinear system of parabolic equations and its application to differential games. At first, we prove the existence of a mild solution to the system by an approximation argument. Throughout this mild solution, we show the existence of an adapted solution to a system of FBSDE which allows us to prove the existence of a Nash equilibrium for a class of differential games.
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Schwarzenberger, Michael [Verfasser], René L. [Akademischer Betreuer] [Gutachter] Schilling, and Niels [Gutachter] Jacob. "Affine Processes and Pseudo-Differential Operators with Unbounded Coefficients / Michael Schwarzenberger ; Gutachter: René L. Schilling, Niels Jacob ; Betreuer: René L. Schilling." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://d-nb.info/1121474470/34.

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Schwarzenberger, Michael Alois [Verfasser], René L. [Akademischer Betreuer] [Gutachter] Schilling, and Niels [Gutachter] Jacob. "Affine Processes and Pseudo-Differential Operators with Unbounded Coefficients / Michael Schwarzenberger ; Gutachter: René L. Schilling, Niels Jacob ; Betreuer: René L. Schilling." Dresden : Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:14-qucosa-211510.

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Hafizoglu, Cavit. "Linear quadratic regulatory boundary/point control of stochastic partial differential equation systems with unbounded coefficients." 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3235032.

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Book chapters on the topic "Unbounded Coefficients"

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Da Prato, G. "Riccati equation with unbounded coefficients." In Lecture Notes in Control and Information Sciences, 124–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0005648.

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Gohberg, Israel, and Nahum Krupnik. "On Singular Integral Equations with Unbounded Coefficients." In Convolution Equations and Singular Integral Operators, 135–44. Basel: Birkhäuser Basel, 2010. http://dx.doi.org/10.1007/978-3-7643-8956-7_9.

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Fujisaki, Masatoshi. "Bellman equation with unbounded coefficients and its applications." In Lecture Notes in Mathematics, 69–79. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0078462.

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Sintzoff, P., and M. Willem. "A Semilinear Elliptic Equation on RN with Unbounded Coefficients." In Variational and Topological Methods in the Study of Nonlinear Phenomena, 105–13. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0081-9_8.

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Hanyga, Andrzej, and Mauro Fabrizio. "Existence and Uniqueness for Linear Hyperbolic Systems with Unbounded Coefficients." In Nonlinear Hyperbolic Equations — Theory, Computation Methods, and Applications, 218–19. Wiesbaden: Vieweg+Teubner Verlag, 1989. http://dx.doi.org/10.1007/978-3-322-87869-4_22.

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Ichikawa, Akira. "The separation principle for stochastic differential equations with unbounded coefficients." In Lecture Notes in Mathematics, 164–71. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0072888.

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Lunardi, Alessandra. "Compactness and Asymptotic Behavior in Nonautonomous Linear Parabolic Equations with Unbounded Coefficients in ℝ d." In Parabolic Problems, 447–61. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0075-4_23.

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Lorenzi, Luca. "On a Class of Elliptic Operators with Unbounded Time- and Space-dependent Coefficients in ℝ N." In Functional Analysis and Evolution Equations, 433–56. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7794-6_28.

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Giuli, Massimiliano, Fausto Gozzi, Roberto Monte, and Vincenzo Vespri. "Generation of Analytic Semigroups and Domain Characterization for Degenerate Elliptic Operators with Unbounded Coefficients Arising in Financial Mathematics. Part II." In Functional Analysis and Evolution Equations, 315–30. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7794-6_21.

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Talevi, Alan, and Carolina L. Bellera. "Unbound Brain-to-Plasma Partition Coefficient Determination." In The ADME Encyclopedia, 1175–82. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-84860-6_62.

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Conference papers on the topic "Unbounded Coefficients"

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Jin, Songhe, Dianbo Ren, and Jiye Zhang. "Global Exponential Stability of Fuzzy Neural Networks with Unbounded Delay and Variable Coefficients." In 2009 International Conference on Information Engineering and Computer Science. IEEE, 2009. http://dx.doi.org/10.1109/iciecs.2009.5363119.

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"Complete description of the Perron exponent of a linear differential system with unbounded coefficients." In Уфимская осенняя математическая школа - 2022. 2 часть. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh2t-2022-09-28.46.

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Kamynin, V. L., and T. I. Bukharova. "On a priori estimate in Wq1,2 for the solution of nondivergent parabolic equation with unbounded coefficients." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015). Author(s), 2016. http://dx.doi.org/10.1063/1.4952012.

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Shing-Tung Yau and S. S. T. Yau. "Existence of solutions to time dependent parabolic equations with unbounded coefficients: application to Duncan-Mortensen-Zakai equations." In Proceedings of 2000 American Control Conference (ACC 2000). IEEE, 2000. http://dx.doi.org/10.1109/acc.2000.876608.

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"Description of a Linear Perron Effect under Parametric Perturbations of a Linear Differential System with Unbounded Coefficients." In Уфимская осенняя математическая школа - 2022. 2 часть. Baskir State University, 2022. http://dx.doi.org/10.33184/mnkuomsh2t-2022-09-28.88.

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Yibing, Sun, and Zhao Yige. "Oscillation and Asymptotic Behavior of Third-Order Neutral Differential Equations with Damping, Unbounded Neutral Coefficients and Distributed Deviating Arguments." In 2021 40th Chinese Control Conference (CCC). IEEE, 2021. http://dx.doi.org/10.23919/ccc52363.2021.9550260.

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Ruelas, Rocio E., and Richard H. Rand. "Disappearance of Resonance Tongues." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12019.

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We investigate a phenomenon observed in systems of the form dx/dt=a1tx+a2tydy/dt=a3tx+a4ty where ait=Pi+εQicos2t where Pi, Qi and ε are given constants, and where it is assumed that when ε = 0 this system exhibits a pair of linearly independent solutions of period 2π. Since the driver cos2t has period π, we have the ingredients for a 2:1 subharmonic resonance which typically results in a tongue of instability involving unbounded solutions when ε >0. We present conditions on the coefficients Pi, Qi such that the expected instability does not occur, i.e., the tongue of instability has disappeared.
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Chellaboina, VijaySekhar, Wassim M. Haddad, and Tomohisa Hayakawa. "Adaptive Control for Nonlinear Matrix Second-Order Systems With Sign-Varying Damping and Stiffness Operators." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/dsc-24579.

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Abstract A direct adaptive control framework for a class of nonlinear matrix second-order dynamical systems with state-dependent uncertainty is developed. The proposed framework guarantees global asymptotic stability of the closed-loop system states associated with the plant dynamics without requiring any knowledge of the system nonlinearities other than the assumption that they are continuous and lower bounded. Generalizations to the case where the system nonlinearities are unbounded are also considered. In the special case of matrix second-order systems with polynomial nonlinearities with unknown coefficients and unknown order, we provide a universal adaptive controller that guarantees closed-loop stability of the plant states.
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Malavasi, Stefano, and Emanuele Zappa. "Fluid-Dynamic Loading on a Tilted Rectangular Cylinder Near a Solid Wall." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93920.

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We investigate the impact of different boundary conditions on the flow field developing around a tilted rectangular cylinder. We are mainly interested in analyzing the changes in force coefficients and in the vortex shedding Strouhal number due to the proximity of the cylinder to a bottom plate (placed at various distances from the cylinder) at different angles of attack. The angle of attack ranges between −30° and +30° and the cylinder elevation above the bottom wall is varied between almost zero and 200 mm. The effects of the different boundary conditions on the vortex shedding phenomenon are investigated by considering the Strouhal number of the vortex shedding as the key controlling parameter. The experimental results mimicking the unbounded conditions (relative large elevation of the cylinder above the solid wall) are in close agreement with those already found in literature. On the contrary, remarkable differences occur when the elevation of the cylinder is decreased. A large body of experimental results is related to the small elevation conditions at different attack angles, where the presence of the wall has a non-negligible effect on the behavior of the force coefficients and Strouhal number of the vortex shedding.
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Gerhard, Tom, Michael Sturm, and Thomas H. Carolus. "Small Horizontal Axis Wind Turbine: Analytical Blade Design and Comparison With RANS-Prediction and First Experimental Data." In ASME Turbo Expo 2013: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/gt2013-94158.

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State-of-the-art wind turbine performance prediction is mainly based on semi-analytical models, incorporating blade element momentum (BEM) analysis and empirical models. Full numerical simulation methods can yield the performance of a wind turbine without empirical assumptions. Inherent difficulties are the large computational domain required to capture all effects of the unbounded ambient flow field and the fact that the boundary layer on the blade may be transitional. A modified turbine design method in terms of the velocity triangles, Euler’s turbine equation and BEM is developed. Lift and drag coefficients are obtained from XFOIL, an open source 2D design and analysis tool for subcritical airfoils. A 3 m diameter horizontal axis wind turbine rotor was designed and manufactured. The flow field is predicted by means of a Reynolds-averaged Navier-Stokes simulation. Two turbulence models were utilized: (i) a standard k-ω-SST model, (ii) a laminar/turbulent transition model. The manufactured turbine is placed on the rooftop of the University of Siegen. Three wind anemometers and wind direction sensors are arranged around the turbine. The torque is derived from electric power and the rotational speed via a calibrated grid-connected generator. The agreement between the analytically and CFD-predicted kinematic quantities up- and downstream of the rotor disc is quite satisfactory. However, the blade section drag to lift ratio and hence the power coefficient vary with the turbulence model chosen. Moreover, the experimentally determined power coefficient is considerably lower as predicted by all methods. However, this conclusion is somewhat preliminary since the existing experimental data set needs to be extended.
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