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http://dx.doi.org/10.5666/KMJ.2016.56.2.431

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

Vinodkumar, Arumugam (Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham University)
Gowrisankar, Muthusamy (Department of Mathematics, Annapoorana Engineering College)
Mohankumar, Prathiban (Department of Mathematics, A. C. T College of Engineering and Technology)
Publication Information
Kyungpook Mathematical Journal / v.56, no.2, 2016 , pp. 431-450 More about this Journal
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;
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