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Impulsive stabilization of functional differential equations by Lyapunov–Razumikhin functions
Nonlinear Analysis: Theory, Methods & Applications, 1999Using the Lyapunov-Razumikhin technique, the authors establish theorems on uniform stability and uniform asymptotic stability. These theorems show that certain impulsive perturbations can make unstable systems uniformly stable, even uniformly asymptotically stable.
Jurang Yan
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Stability of stochastic functional differential equations with impulses
Applied Mathematics Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongyu Kuang, Jianli Li
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Practical stability of impulsive functional differential equations in terms of two measurements
Computers and Mathematics With Applications, 2004 In this paper, we consider practical stability of impulsive functional differential equations in terms of two measurements. Some sufficient conditions of uniform practical stability for functional differential equation with impulses are obtained by using
Jitao Sun
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Existence results for an impulsive abstract partial differential equation with state-dependent delay
Computers and Mathematics With Applications, 2006 In this paper, we establish the existence of mild solutions for a class of impulsive abstract partial functional differential equation with state-dependent ...
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A Contribution to the Study of Functional Differential Equations with Impulses
Mathematische Nachrichten, 2000A periodic boundary value problem for a special type of functional-differential equations with impulses at fixed points is studied. A comparison result is presented that allows to construct a sequence of approximate solutions and to give an existence result. Several particular cases are considered.
Franco, D +3 more
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On the asymptotic stability for impulsive functional differential equations
Acta Mathematica Hungarica, 2011Impulsive functional differential equations with finite delay are studied. The authors prove uniform asymptotic stability of the zero solution. They obtain some new Lyapunov functional in order to establish the obtained results. The paper generalizes some known results about the stability of impulsive functional differential equations.
Jiang, F., Shen, J.
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Perturbed Impulsive Neutral Stochastic Functional Differential Equations
Qualitative Theory of Dynamical Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, Lijuan, Hu, Lanying, Ren, Yong
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