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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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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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Stability of impulsive functional differential equations
Nonlinear Analysis: Theory, Methods & Applications, 2008This paper deals with the stability of impulsive functional differential equation in which the impulses depend on the delay. The authors obtain some stability results by means of Lyapunov functions and the Razumikhin technique. The work is illustrated by some examples.
Zhang, Yu, Sun, Jitao
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Stability in System of Impulsive Neutral Functional Differential Equations
Mediterranean Journal of Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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.
Yan, Jurang, Shen, Jianhua
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Stability analysis of impulsive stochastic functional differential equations
Communications in Nonlinear Science and Numerical Simulation, 2020In this paper, the authors use the Razumikhin techniques and Lyapunov functions to investigate the stability of impulsive stochastic functional differential equations. The results show that impulses make contribution to the exponential stability of stochastic differential systems with any time delay even they are unstable.
Yingxin Guo, Quanxin Zhu, Fei Wang
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Parametric Stability of Impulsive Functional Differential Equations
Journal of Dynamical and Control Systems, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On impulsive fuzzy functional differential equations
2016In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.
Vu, Ho, VanHoa, Ngo
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Impulsive neutral functional differential equations with variable times
Nonlinear Analysis: Theory, Methods & Applications, 2003The authors investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations with variable times. The fixed-point theorem due to Schaefer is used.
Benchohra, Mouffak, Ouahab, Abdelghani
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