Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses

- Journal title : Kyungpook mathematical journal
- Volume 56, Issue 2, 2016, pp.431-450
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2016.56.2.431

Title & Authors

Existence and Stability Results on Nonlinear Delay Integro-Differential Equations with Random Impulses

Vinodkumar, Arumugam; Gowrisankar, Muthusamy; Mohankumar, Prathiban;

Vinodkumar, Arumugam; Gowrisankar, Muthusamy; Mohankumar, Prathiban;

Abstract

In this paper, the existence, uniqueness, stability via continuous dependence and Ulam stabilities of nonlinear integro-differential equations with random impulses are studied under sufficient condition. The results are obtained by using Leray-Schauder alternative fixed point theorem and Banach contraction principle.

Keywords

Delay integro-differential equations;random impulses;Leray-Schauder alternative fixed point theorem;contraction Principle;

Language

English

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