Log in

Relevant bibliographies by topics / Stabilité Lipschitz / Journal articles

Journal articles on the topic 'Stabilité Lipschitz'

To see the other types of publications on this topic, follow the link: Stabilité Lipschitz.

Author: Grafiati

Published: 25 May 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Stabilité Lipschitz.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Soliman, A. A. "On eventual stability of impulsive systems of differential equations." International Journal of Mathematics and Mathematical Sciences 27, no. 8 (2001): 485–94. http://dx.doi.org/10.1155/s0161171201005622.

Full text

Abstract:

The notions of Lipschitz stability of impulsive systems of differential equations are extended and the notions of eventual stability are introduced. New notions called eventual and eventual Lipschitz stability. We give some criteria and results.

APA, Harvard, Vancouver, ISO, and other styles

2

Grunert, Katrin, and Matthew Tandy. "Lipschitz stability for the Hunter–Saxton equation." Journal of Hyperbolic Differential Equations 19, no. 02 (June 2022): 275–310. http://dx.doi.org/10.1142/s0219891622500072.

Full text

Abstract:

We study Lipschitz stability in time for [Formula: see text]-dissipative solutions to the Hunter–Saxton equation, where [Formula: see text] is a constant. We define metrics in both Lagrangian and Eulerian coordinates, and establish Lipschitz stability for those metrics.

APA, Harvard, Vancouver, ISO, and other styles

3

Fu, Yu Li. "On Lipschitz stability for F.D.E." Pacific Journal of Mathematics 151, no. 2 (December 1, 1991): 229–35. http://dx.doi.org/10.2140/pjm.1991.151.229.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Pilyugin, Sergei Yu, and Sergey Tikhomirov. "Lipschitz shadowing implies structural stability." Nonlinearity 23, no. 10 (August 20, 2010): 2509–15. http://dx.doi.org/10.1088/0951-7715/23/10/009.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Jiang, Zuohai, and Shicheng Xu. "Stability of Pure Nilpotent Structures on Collapsed Manifolds." International Mathematics Research Notices 2020, no. 24 (February 13, 2019): 10317–45. http://dx.doi.org/10.1093/imrn/rnz023.

Full text

Abstract:

Abstract The goal of this paper is to study the stability of pure nilpotent structures on an $n$-manifold for different collapsed metrics. We prove that if two metrics with bounded sectional curvature are $L_0$-bi-Lipschitz equivalent and sufficient collapsed (depending on $L_0$ and $n$), then up to a diffeomorphism, the underlying nilpotent Killing structures coincide with each other, or one is embedded into another as a subsheaf. It improves Cheeger–Fukaya–Gromov’s local compatibility of pure nilpotent Killing structures for one collapsed metric to two Lipschitz equivalent metrics. As an application, we prove that those pure nilpotent Killing structures constructed by various smoothing methods to a Lipschitz equivalent metric with bounded sectional curvature are uniquely determined by the original metric modulo a diffeomorphism.

APA, Harvard, Vancouver, ISO, and other styles

6

Chu, Chin-Ku, Myung-Sun Kim, and Keon-Hee Lee. "Lipschitz stability and Lyapunov stability in dynamical systems." Nonlinear Analysis: Theory, Methods & Applications 19, no. 10 (November 1992): 901–9. http://dx.doi.org/10.1016/0362-546x(92)90102-k.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Martynyuk, A. A. "On integral stability and Lipschitz stability of motion." Ukrainian Mathematical Journal 49, no. 1 (January 1997): 84–92. http://dx.doi.org/10.1007/bf02486618.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

KLEMENT, ERICH PETER, ANNA KOLESÁROVÁ, RADKO MESIAR, and ANDREA STUPŇANOVÁ. "LIPSCHITZ CONTINUITY OF DISCRETE UNIVERSAL INTEGRALS BASED ON COPULAS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 18, no. 01 (February 2010): 39–52. http://dx.doi.org/10.1142/s0218488510006374.

Full text

Abstract:

The stability of discrete universal integrals based on copulas is discussed and examined, both with respect to the norms L1 (Lipschitz stability) and L∞ (Chebyshev stability). Each of these integrals is shown to be 1-Lipschitz. Exactly the discrete universal integrals based on a copula which is stochastically increasing in its first coordinate turn out to be 1-Chebyshev. A new characterization of stochastically increasing Archimedean copulas is also given.

APA, Harvard, Vancouver, ISO, and other styles

9

Gracia, Juan-Miguel, and Francisco E. Velasco. "Lipschitz stability of controlled invariant subspaces." Linear Algebra and its Applications 434, no. 4 (February 2011): 1137–62. http://dx.doi.org/10.1016/j.laa.2010.10.024.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Chu, Chin-Ku, and Keon-Hee Lee. "Embedding of Lipschitz stability in flows." Nonlinear Analysis: Theory, Methods & Applications 26, no. 11 (June 1996): 1749–52. http://dx.doi.org/10.1016/0362-546x(95)00014-m.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Soliman, A. A. "Lipschitz stability with perturbing liapunov functionals." Applied Mathematics Letters 17, no. 8 (August 2004): 939–44. http://dx.doi.org/10.1016/j.aml.2003.10.008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Murty, K. N., and Michael D. Shaw. "Stability analysis of nonlinear Lyapunov systems associated with an nth order system of matrix differential equations." Journal of Applied Mathematics and Stochastic Analysis 15, no. 2 (January 1, 2002): 141–50. http://dx.doi.org/10.1155/s104895330200014x.

Full text

Abstract:

This paper introduces the notion of Lipschitz stability for nonlinear nth order matrix Lyapunov differential systems and gives sufficient conditions for Lipschitz stability. We develop variation of parameters formula for the solution of the nonhomogeneous nonlinear nth order matrix Lyapunov differential system. We study observability and controllability of a special system of nth order nonlinear Lyapunov systems.

APA, Harvard, Vancouver, ISO, and other styles

13

Wang, Yingying, and Zhinan Xia. "Lipschitz Stability in Terms of Two Measures for Kurzweil Equations and Applications." Mathematics 11, no. 9 (April 23, 2023): 2006. http://dx.doi.org/10.3390/math11092006.

Full text

Abstract:

For generalized ordinary differential equations, sufficient criteria are given for the Lipschitz stability in terms of two measures of the trivial solutions. As an application, we apply our main results by studying the Lipschitz stability for measure differential equations and impulsive differential equations. Compared to the classical ones, the conditions here regarding the functions are more general.

APA, Harvard, Vancouver, ISO, and other styles

14

Rong, Xiaochun, and Shicheng Xu. "Stability of eϵ-Lipschitz and co-Lipschitz maps in Gromov–Hausdorff topology." Advances in Mathematics 231, no. 2 (October 2012): 774–97. http://dx.doi.org/10.1016/j.aim.2012.05.018.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Montoya, Cristhian. "Inverse source problems for the Korteweg–de Vries–Burgers equation with mixed boundary conditions." Journal of Inverse and Ill-posed Problems 27, no. 6 (December 1, 2019): 777–94. http://dx.doi.org/10.1515/jiip-2018-0108.

Full text

Abstract:

Abstract In this paper, we prove Lipschitz stability results for the inverse source problem of determining the spatially varying factor in a source term in the Korteweg–de Vries–Burgers (KdVB) equation with mixed boundary conditions. More precisely, the Lipschitz stability property is obtained using observation data on an arbitrary fixed sub-domain over a time interval. Secondly, we show that stability property can also be achieved from boundary measurements. Our proofs relies on Carleman inequalities and the Bukhgeim–Klibanov method.

APA, Harvard, Vancouver, ISO, and other styles

16

Ledrappier, F., and L. S. Young. "Stability of Lyapunov exponents." Ergodic Theory and Dynamical Systems 11, no. 3 (September 1991): 469–84. http://dx.doi.org/10.1017/s0143385700006283.

Full text

Abstract:

AbstractWe consider small random perturbations of matrix cocycles over Lipschitz homeomorphisms of compact metric spaces. Lyapunov exponents are shown to be stable provided that our perturbations satisfy certain regularity conditions. These results are applicable to dynamical systems, particularly to volume-preserving diffeomorphisms.

APA, Harvard, Vancouver, ISO, and other styles

17

Protasov, V. Yu. "Lipschitz stability of operators in Banach spaces." Proceedings of the Steklov Institute of Mathematics 280, no. 1 (April 2013): 268–79. http://dx.doi.org/10.1134/s0081543813010203.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Bainov, D. d., and I. m. Stamova. "Lipschitz stability of impulsive functional-differential equations." Applicable Analysis 73, no. 3-4 (December 1999): 393–405. http://dx.doi.org/10.1080/00036819908840787.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Sincich, E. "Lipschitz stability for the inverse Robin problem." Inverse Problems 23, no. 3 (May 23, 2007): 1311–26. http://dx.doi.org/10.1088/0266-5611/23/3/027.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

Janin, Robert, and Jacques Gauvin. "Lipschitz-Type Stability in Nonsmooth Convex Programs." SIAM Journal on Control and Optimization 38, no. 1 (January 1999): 124–37. http://dx.doi.org/10.1137/s0363012996298990.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Przesławski, Krzysztof. "Lipschitz selections and stability for quasiconvex programs." Journal of Mathematical Analysis and Applications 274, no. 2 (October 2002): 475–81. http://dx.doi.org/10.1016/s0022-247x(02)00231-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

22

Palmer, Kenneth J., Sergei Yu Pilyugin, and Sergey B. Tikhomirov. "Lipschitz shadowing and structural stability of flows." Journal of Differential Equations 252, no. 2 (January 2012): 1723–47. http://dx.doi.org/10.1016/j.jde.2011.07.026.

Full text

APA, Harvard, Vancouver, ISO, and other styles

23

Stepanov, A. V. "Generalizations in the problem of Lipschitz stability." Journal of Mathematical Sciences 90, no. 6 (August 1998): 2524–26. http://dx.doi.org/10.1007/bf02433001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

24

Alessandrini, Giovanni, and Sergio Vessella. "Lipschitz stability for the inverse conductivity problem." Advances in Applied Mathematics 35, no. 2 (August 2005): 207–41. http://dx.doi.org/10.1016/j.aam.2004.12.002.

Full text

APA, Harvard, Vancouver, ISO, and other styles

25

Bainov, D. D., and I. M. Stamova. "Lipschitz stability of impulsive functional-differential equations." ANZIAM Journal 42, no. 4 (April 2001): 504–14. http://dx.doi.org/10.1017/s1446181100012244.

Full text

Abstract:

AbstractAn initial value problem is considered for impulsive functional-differential equations. The impulses occur at fixed moments of time. Sufficient conditions are found for Lipschitz stability of the zero solution of these equations. An application in impulsive population dynamics is also discussed.

APA, Harvard, Vancouver, ISO, and other styles

26

Choi, Sang Il, and Yoon Hoe Goo. "LIPSCHITZ STABILITY FOR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS." Far East Journal of Mathematical Sciences (FJMS) 96, no. 5 (March 13, 2015): 573–91. http://dx.doi.org/10.17654/fjmsmar2015_573_591.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

Choi, Sang Il, and Yoon Hoe Goo. "UNIFORM LIPSCHITZ STABILITY OF PERTURBED DIFFERENTIAL SYSTEMS." Far East Journal of Mathematical Sciences (FJMS) 101, no. 4 (February 2, 2017): 721–35. http://dx.doi.org/10.17654/ms101040721.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Elaydi, S., and M. Rama Mohana Rao. "Lipschitz stability for nonlinear volterra integrodifferential systems." Applied Mathematics and Computation 27, no. 3 (September 1988): 191–99. http://dx.doi.org/10.1016/0096-3003(88)90001-x.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Higham, Desmond J., Xuerong Mao, and Andrew M. Stuart. "Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations." LMS Journal of Computation and Mathematics 6 (2003): 297–313. http://dx.doi.org/10.1112/s1461157000000462.

Full text

Abstract:

AbstractPositive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results applies under finite-time convergence conditions on the numerical method. Under these conditions, the exponential mean-square stability of the SDE and that of the method (for sufficiently small step sizes) are shown to be equivalent, and the corresponding second-moment Lyapunov exponent bounds can be taken to be arbitrarily close. The required finite-time convergence conditions hold for the class of stochastic theta methods on globally Lipschitz problems. It is then shown that exponential mean-square stability for non-globally Lipschitz SDEs is not inherited, in general, by numerical methods. However, for a class of SDEs that satisfy a one-sided Lipschitz condition, positive results are obtained for two implicit methods. These results highlight the fact that for long-time simulation on nonlinear SDEs, the choice of numerical method can be crucial.

APA, Harvard, Vancouver, ISO, and other styles

30

Pinsky, Mark A., and Steve Koblik. "Solution Bounds, Stability, and Estimation of Trapping/Stability Regions of Some Nonlinear Time-Varying Systems." Mathematical Problems in Engineering 2020 (April 24, 2020): 1–16. http://dx.doi.org/10.1155/2020/5128430.

Full text

Abstract:

Estimation of solution norms and stability for time-dependent nonlinear systems is ubiquitous in numerous engineering, natural science, and control problems. Yet, practically valuable results are rare in this area. This paper develops a novel approach, which bounds the solution norms, derives the corresponding stability criteria, and estimates the trapping/stability regions for some nonautonomous and nonlinear systems, which arise in various application domains. Our inferences rest on deriving a scalar differential inequality for the norms of solutions to the initial systems. Utility of the Lipschitz inequality linearizes the associated auxiliary differential equation and yields both the upper bounds for the norms of solutions and the relevant stability criteria. To refine these inferences, we introduce a nonlinear extension of the Lipschitz inequality, which improves the developed bounds and allows estimation of the stability/trapping regions for the corresponding systems. Finally, we confirm the theoretical results in representative simulations.

APA, Harvard, Vancouver, ISO, and other styles

31

Kamalapurkar, Rushikesh, Warren E. Dixon, and Andrew R. Teel. "On reduction of differential inclusions and Lyapunov stability." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 24. http://dx.doi.org/10.1051/cocv/2019074.

Full text

Abstract:

In this paper, locally Lipschitz, regular functions are utilized to identify and remove infeasible directions from set-valued maps that define differential inclusions. The resulting reduced set-valued map is pointwise smaller (in the sense of set containment) than the original set-valued map. The corresponding reduced differential inclusion, defined by the reduced set-valued map, is utilized to develop a generalized notion of a derivative for locally Lipschitz candidate Lyapunov functions in the direction(s) of a set-valued map. The developed generalized derivative yields less conservative statements of Lyapunov stability theorems, invariance theorems, invariance-like results, and Matrosov theorems for differential inclusions. Included illustrative examples demonstrate the utility of the developed theory.

APA, Harvard, Vancouver, ISO, and other styles

32

Zhang, Liwei, Shengzhe Gao, and Saoyan Guo. "Statistical Inference of Second-Order Cone Programming." Asia-Pacific Journal of Operational Research 36, no. 02 (April 2019): 1940003. http://dx.doi.org/10.1142/s0217595919400037.

Full text

Abstract:

In this paper, we study the stability of stochastic second-order programming when the probability measure is perturbed. Under the Lipschitz continuity of the objective function and metric regularity of the feasible set-valued mapping, the outer semicontinuity of the optimal solution set and Lipschitz continuity of optimal values are demonstrated. Moreover, we prove that, if the constraint non-degeneracy condition and strong second-order sufficient condition hold at a local minimum point of the original problem, there exists a Lipschitz continuous solution path satisfying the Karush–Kuhn–Tucker conditions.

APA, Harvard, Vancouver, ISO, and other styles

33

Araujo, Alexandre, Benjamin Negrevergne, Yann Chevaleyre, and Jamal Atif. "On Lipschitz Regularization of Convolutional Layers using Toeplitz Matrix Theory." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 8 (May 18, 2021): 6661–69. http://dx.doi.org/10.1609/aaai.v35i8.16824.

Full text

Abstract:

This paper tackles the problem of Lipschitz regularization of Convolutional Neural Networks. Lipschitz regularity is now established as a key property of modern deep learning with implications in training stability, generalization, robustness against adversarial examples, etc. However, computing the exact value of the Lipschitz constant of a neural network is known to be NP-hard. Recent attempts from the literature introduce upper bounds to approximate this constant that are either efficient but loose or accurate but computationally expensive. In this work, by leveraging the theory of Toeplitz matrices, we introduce a new upper bound for convolutional layers that is both tight and easy to compute. Based on this result we devise an algorithm to train Lipschitz regularized Convolutional Neural Networks.

APA, Harvard, Vancouver, ISO, and other styles

34

Foschiatti, Sonia, Romina Gaburro, and Eva Sincich. "Stability for the Calderón’s problem for a class of anisotropic conductivities via an ad hoc misfit functional." Inverse Problems 37, no. 12 (November 17, 2021): 125007. http://dx.doi.org/10.1088/1361-6420/ac349c.

Full text

Abstract:

Abstract We address the stability issue in Calderón’s problem for a special class of anisotropic conductivities of the form σ = γA in a Lipschitz domain Ω ⊂ R n , n ⩾ 3, where A is a known Lipschitz continuous matrix-valued function and γ is the unknown piecewise affine scalar function on a given partition of Ω. We define an ad hoc misfit functional encoding our data and establish stability estimates for this class of anisotropic conductivity in terms of both the misfit functional and the more commonly used local Dirichlet-to-Neumann map.

APA, Harvard, Vancouver, ISO, and other styles

35

Liu, Kanglin, and Guoping Qiu. "Lipschitz constrained GANs via boundedness and continuity." Neural Computing and Applications 32, no. 24 (May 24, 2020): 18271–83. http://dx.doi.org/10.1007/s00521-020-04954-z.

Full text

Abstract:

AbstractOne of the challenges in the study of generative adversarial networks (GANs) is the difficulty of its performance control. Lipschitz constraint is essential in guaranteeing training stability for GANs. Although heuristic methods such as weight clipping, gradient penalty and spectral normalization have been proposed to enforce Lipschitz constraint, it is still difficult to achieve a solution that is both practically effective and theoretically provably satisfying a Lipschitz constraint. In this paper, we introduce the boundedness and continuity (BC) conditions to enforce the Lipschitz constraint on the discriminator functions of GANs. We prove theoretically that GANs with discriminators meeting the BC conditions satisfy the Lipschitz constraint. We present a practically very effective implementation of a GAN based on a convolutional neural network (CNN) by forcing the CNN to satisfy the BC conditions (BC–GAN). We show that as compared to recent techniques including gradient penalty and spectral normalization, BC–GANs have not only better performances but also lower computational complexity.

APA, Harvard, Vancouver, ISO, and other styles

36

Lee, Keon-Hee. "Recurrence in Lipschitz stable flows." Bulletin of the Australian Mathematical Society 38, no. 2 (October 1988): 197–202. http://dx.doi.org/10.1017/s0004972700027465.

Full text

Abstract:

The purpose of this paper is to get some necessary conditions for a Poisson stable flow to be recurrent and to analyse the bilateral versions of positive and negative Lipschitz stability. Moreover, a characterisation of recurrent orbits is obtained in a certain flow.

APA, Harvard, Vancouver, ISO, and other styles

37

Chen, Kun-Chu. "Stability estimate for a strongly coupled parabolic system." Tamkang Journal of Mathematics 43, no. 1 (March 31, 2012): 137–44. http://dx.doi.org/10.5556/j.tkjm.43.2012.897.

Full text

APA, Harvard, Vancouver, ISO, and other styles

38

Djordjevic, Jasmina. "Lp - estimates of solutions of backward doubly stochastic differential equations." Filomat 31, no. 8 (2017): 2365–79. http://dx.doi.org/10.2298/fil1708365d.

Full text

Abstract:

This paper deals with a large class of nonhomogeneous backward doubly stochastic differential equations which have a more general form of the forward It? integrals. Terms under which the solutions of these equations are bounded in the Lp-sense, p ? 2, under both the Lipschitz and non-Lipschitz conditions, are given, i.e. Lp - stability for this general type of backward doubly stochastic differential equations is established.

APA, Harvard, Vancouver, ISO, and other styles

39

Barreira, Luis, and Claudia Valls. "Stability of delay equations." Electronic Journal of Qualitative Theory of Differential Equations, no. 45 (2022): 1–24. http://dx.doi.org/10.14232/ejqtde.2022.1.45.

Full text

Abstract:

For a large class of nonautonomous linear delay equations with distributed delay, we obtain the equivalence of hyperbolicity, with the existence of an exponential dichotomy, and Ulam–Hyers stability. In particular, for linear equations with constant or periodic coefficients and with a simple spectrum these two properties are equivalent. We also show that any linear delay equation with an exponential dichotomy and its sufficiently small Lipschitz perturbations are Ulam–Hyers stable.

APA, Harvard, Vancouver, ISO, and other styles

40

Wang, Xue, Danfeng Luo, Zhiguo Luo, and Akbar Zada. "Ulam–Hyers Stability of Caputo-Type Fractional Stochastic Differential Equations with Time Delays." Mathematical Problems in Engineering 2021 (March 29, 2021): 1–24. http://dx.doi.org/10.1155/2021/5599206.

Full text

Abstract:

In this paper, we study a class of Caputo-type fractional stochastic differential equations (FSDEs) with time delays. Under some new criteria, we get the existence and uniqueness of solutions to FSDEs by Carath e ´ odory approximation. Furthermore, with the help of H o ¨ lder’s inequality, Jensen’s inequality, It o ^ isometry, and Gronwall’s inequality, the Ulam–Hyers stability of the considered system is investigated by using Lipschitz condition and non-Lipschitz condition, respectively. As an application, we give two representative examples to show the validity of our theories.

APA, Harvard, Vancouver, ISO, and other styles

41

Wang, Mei, and Baogua Jia. "Finite-time stability and uniqueness theorem of solutions of nabla fractional $ (q, h) $-difference equations with non-Lipschitz and nonlinear conditions." AIMS Mathematics 9, no. 6 (2024): 15132–48. http://dx.doi.org/10.3934/math.2024734.

Full text

Abstract:

<abstract><p>In this paper, the discrete $ (q, h) $-fractional Bihari inequality is generalized. On the grounds of inequality, the finite-time stability and uniqueness theorem of solutions of $ (q, h) $-fractional difference equations with non-Lipschitz and nonlinear conditions is concluded. In addition, the validity of our conclusion is illustrated by a nonlinear example with a non-Lipschitz condition.</p></abstract>

APA, Harvard, Vancouver, ISO, and other styles

42

Reinfelds, Andrejs, and Shraddha Christian. "Hyers–Ulam–Rassias Stability of Nonlinear Implicit Higher-Order Volterra Integrodifferential Equations from above on Unbounded Time Scales." Mathematics 12, no. 9 (April 30, 2024): 1379. http://dx.doi.org/10.3390/math12091379.

Full text

Abstract:

In this paper, we present sufficient conditions for Hyers–Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales. These new sufficient conditions result by reducing Volterra-type integrodifferential equations to Volterra-type integral equations, using the Banach fixed point theorem, and by applying an appropriate Bielecki type norm, the Lipschitz type functions, where Lipschitz coefficient is replaced by unbounded rd-continuous function.

APA, Harvard, Vancouver, ISO, and other styles

43

Chahbi, Abdellatif, Iz-iddine EL-Fassi, and Samir Kabbaj. "Lipschitz stability of the k-quadratic functional equation." Quaestiones Mathematicae 40, no. 8 (July 5, 2017): 991–1001. http://dx.doi.org/10.2989/16073606.2017.1339742.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

Rondi, Luca. "Optimal Stability of Reconstruction of Plane Lipschitz Cracks." SIAM Journal on Mathematical Analysis 36, no. 4 (January 2005): 1282–92. http://dx.doi.org/10.1137/s0036141003435837.

Full text

APA, Harvard, Vancouver, ISO, and other styles

45

Alessandrini, Giovanni, Elena Beretta, and Sergio Vessella. "Determining Linear Cracks by Boundary Measurements: Lipschitz Stability." SIAM Journal on Mathematical Analysis 27, no. 2 (March 1996): 361–75. http://dx.doi.org/10.1137/s0036141094265791.

Full text

APA, Harvard, Vancouver, ISO, and other styles

46

Kulev, G. K., and D. D. Bainov. "Lipschitz stability of impulsive systems of differential equations." Dynamics and Stability of Systems 8, no. 1 (January 1993): 1–17. http://dx.doi.org/10.1080/02681119308806145.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Dishliev, A. B., and D. D. Bainov. "Investigation of the lipschitz stability via limiting equations." Dynamics and Stability of Systems 5, no. 2 (January 1990): 59–64. http://dx.doi.org/10.1080/02681119008806085.

Full text

APA, Harvard, Vancouver, ISO, and other styles

48

Tabor, Jacek. "Lipschitz Stability of the Cauchy and Jensen Equations." Results in Mathematics 32, no. 1-2 (August 1997): 133–44. http://dx.doi.org/10.1007/bf03322533.

Full text

APA, Harvard, Vancouver, ISO, and other styles

49

Nikoufar, Ismail. "Stability of Multi-Quadratic Functions in Lipschitz Spaces." Iranian Journal of Science and Technology, Transactions A: Science 43, no. 2 (January 20, 2018): 621–25. http://dx.doi.org/10.1007/s40995-017-0478-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

50

Römisch, Werner, and Rüdiger Schultz. "Lipschitz Stability for Stochastic Programs with Complete Recourse." SIAM Journal on Optimization 6, no. 2 (May 1996): 531–47. http://dx.doi.org/10.1137/0806028.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!