Results 11 to 20 of about 243 (136)
Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
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Razumikhin-type stability criteria for differential equations with delayed impulses [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This paper studies stability problems of general impulsive differential equations where time delays occur in both differential and difference equations.
Qing Wang, Quanxin Zhu
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Global Exponential Stability of Impulsive Functional Differential Equations via Razumikhin Technique [PDF]
Abstract and Applied Analysis, 2010 This paper develops some new Razumikhin-type theorems on global exponential stability of impulsive functional differential equations. Some applications are given to impulsive delay differential equations.
Shiguo Peng, Liping Yang
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Uniform asymptotic stability via Liapunov-Razumikhin technique [PDF]
Proceedings of the American Mathematical Society, 1995 The Liapunov-Razumikhin technique is applied to obtain the uniform asymptotic stability for linear integrodifferential equations in Hilbert spaces, \[ x ′ ( t ) = A [
James H. Liu
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New Results on the Qualitative Analysis of Solutions of Vides by the Lyapunov–Razumikhin Technique
Ukrains’kyi Matematychnyi Zhurnal, 2023 A new mathematical model described by a Volterra integrodifferential equation (VIDE) with constant delay is examined. New agreeable conditions on the uniformly asymptotic stability, boundedness, and square integrability of solutions of the VIDE are ...
E. Korkmaz +4 more
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Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
Discrete and Continuous Dynamical Systems, 2013 A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke +2 more
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Advances in Difference Equations, 2018 In this paper, we focus on developing Razumikhin technique for stability analysis of impulsive differential equations with piecewise constant argument. Based on the Lyapunov–Razumikhin method and impulsive control theory, we obtain some Razumikhin-type ...
Qiang Xi
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IEEE Transactions on Circuits and Systems I: Regular Papers, 2016 In this paper, we consider discrete delay systems and obtain conditions for global uniform exponential stability. Our approach is based on the use of the Razumikhin technique and the Lyapunov function method.
Liu, Bin, Marquez, Horacio
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Practical Exponential Stability of Impulsive Stochastic Food Chain System with Time-Varying Delays
Mathematics, 2022 This paper studies the practical exponential stability of an impulsive stochastic food chain system with time-varying delays (ISOFCSs). By constructing an auxiliary system equivalent to the original system and comparison theorem, the existence of global ...
Yuxiao Zhao, Linshan Wang
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Discrete Dynamics in Nature and Society, 2008 A delayed predator-prey model with diffusion and competition is proposed. Some sufficient conditions on uniform persistence of the model have been obtained. By applying Liapunov-Razumikhin technique, we will point out, under almost periodic circumstances,
Qiong Liu
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