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Impulsive functional-differential equations with nonlocal conditions [PDF]

International Journal of Mathematics and Mathematical Sciences, 2002
The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied.
Haydar Akça, Abdelkader Boucherif, Valéry Covachev   +2 more
doaj   +3 more sources

A New Comparison Principle for Impulsive Functional Differential Equations [PDF]

Discrete Dynamics in Nature and Society, 2015
We establish a new comparison principle for impulsive differential systems with time delay. Then, using this comparison principle, we obtain some sufficient conditions for several stabilities of impulsive delay differential equations. Finally, we present
Gang Li, Weizhong Ling, Changming Ding
doaj   +3 more sources

Stability of impulsive functional differential equations via the Liapunov functional

Applied Mathematics Letters, 2009
AbstractIn this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way.
Zhiguo Luo, Jianhua Shen
exaly   +2 more sources

The existence of solutions for impulsive neutral functional differential equations

Computers and Mathematics With Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Claudio Cuevas, Eduardo Hernández, Marcos Rabelo   +2 more
exaly   +3 more sources

Stability analysis of generalized impulsive functional differential equations

Mathematical and Computer Modelling, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaodi Li, Donal O’Regan
exaly   +4 more sources

Almost Periodic Solutions to Impulsive Stochastic Delay Differential Equations Driven by Fractional Brownian Motion With 12 < H < 1

Frontiers in Physics, 2021
In this article, we study the existence and uniqueness of square-mean piecewise almost periodic solutions to a class of impulsive stochastic functional differential equations driven by fractional Brownian motion.
Lili Gao, Xichao Sun
doaj   +1 more source

On the solution of \(\mathcal{T}-\)controllable abstract fractional differential equations with impulsive effects

Cubo, 2023
In this research article, we delimitate the definition of mild solution for abstract fractional differential equations with state-dependent delay (AFDEw/SDD) of order \(\alpha\in(1,2)\) with impulsive effects and compare the solution to the second-order ...
Ganga Ram Gautam, Sandra Pinelas, Manoj Kumar, Namrata Arya, Jaimala Bishnoi   +4 more
doaj   +1 more source

Exponential Stability of Impulsive Neutral Stochastic Functional Differential Equations

Mathematics, 2022
This paper focuses on the problem of the pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations (INSFDEs).
Yunfeng Li, Pei Cheng, Zheng Wu
doaj   +1 more source

Lipschitz stability for generalized ordinary differential equations and impulsive retarded differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2019
We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary differential equations and ...
Suzete Afonso, Márcia da Silva
doaj   +1 more source

Periodic solutions for an impulsive system of integro-differential equations with maxima [PDF]

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022
A periodical boundary value problem for a first-order system of ordinary integro-differential equations with impulsive effects and maxima is investigated.
Tursun K. Yuldashev
doaj   +1 more source