New Results on Impulsive Functional Differential Equations with Infinite Delays [PDF]
Abstract and Applied Analysis, 2013 We investigate the stability for a class of impulsive functional differential equations with infinite delays by using Lyapunov functions and Razumikhin-technique.
Jie Yang, Bing Xie
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Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses [PDF]
Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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Oscillation of high order linear functional differential equation with impulses [PDF]
Electronic Journal of Differential Equations, 2005 We study the solutions to high-order linear functional differential equations with impulses. We improve previous results in the oscillation theory for ordinary differential equations and obtain new criteria on the oscillation of solutions.
Haihua Liang, Weizhen Feng
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Asymptotic Dichotomy in a Class of Third-Order Nonlinear Differential Equations with Impulses [PDF]
Abstract and Applied Analysis, 2010 Solutions of quite a few higher-order delay functional differential equations oscillate or converge to zero. In this paper, we obtain several such dichotomous criteria for a class of third-order nonlinear differential equation with impulses.
Kun-Wen Wen +2 more
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Existence of Positive Periodic Solutions for a Class of Higher-Dimension Functional Differential Equations with Impulses [PDF]
Abstract and Applied Analysis, 2013 By employing the Krasnoselskii fixed point theorem, we establish some criteria for the existence of positive periodic solutions of a class of n-dimension periodic functional differential equations with impulses, which improve the results of the ...
Zhang Suping, Jiang Wei
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Mathematics, 2022 In this paper, we investigate the existence and Ulam–Hyers–Rassias stability results for a class of boundary value problems for implicit ψ-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced ...
Abdelkrim Salim +3 more
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Stability Analysis of Impulsive Stochastic Functional Differential Equations with Delayed Impulses via Comparison Principle and Impulsive Delay Differential Inequality [PDF]
Abstract and Applied Analysis, 2014 The problem of stability for nonlinear impulsive stochastic functional differential equations with delayed impulses is addressed in this paper. Based on the comparison principle and an impulsive delay differential inequality, some exponential stability ...
Pei Cheng, Fengqi Yao, Mingang Hua
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Existence Results for Fractional Neutral Functional Differential Equations with Random Impulses
Mathematics, 2015 In this paper, we investigate the existence of solutions for the fractional neutral differential equations with random impulses. The results are obtained by using Krasnoselskii’s fixed point theorem.
Annamalai Anguraj +3 more
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Strict stability of impulsive functional differential equations
Journal of Mathematical Analysis and Applications, 2005 The authors apply Lyapunov functionals and Razumikhin technique to prove some results on strict uniform stability or Lyapunov's uniform asymptotic stability of the trivial solution of a retarded functional-differential equation with fixed times of impulsive effects.
Zhang, Yu, Sun, Jitao
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Stability Analysis of Impulsive Functional Differential Equations
, 2009 This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses).
Stamova, Ivanka
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