ALMOST PERIODIC SOLUTIONS OF IMPULSIVE INTEGRO‐DIFFERENTIAL NEURAL NETWORKS-Reference-Cited by-同舟云学术

ALMOST PERIODIC SOLUTIONS OF IMPULSIVE INTEGRO‐DIFFERENTIAL NEURAL NETWORKS

Published:2010-11-15 Issue:4 Volume:15 Page:505-516
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Stamov Gani Tr.¹,Alzabut Jehad O.²

Affiliation:

1. Department of Mathematics, Technical University–Sofia 8800 Sliven, Bulgaria

2. Department of Mathematics and Physical Sciences, Prince Sultan University P. O. Box 66833, Riyadh 11586, Saudi Arabia

Abstract

In this paper, sufficient conditions are established for the existence of almost periodic solutions for system of impulsive integro‐differential neural networks. Our approach is based on the estimation of the Cauchy matrix of linear impulsive differential equations. We shall employ the contraction mapping principle as well as Gronwall‐Bellman's inequality to prove our main result. The research of Gani Tr. Stamov is partially supported by the Grand 100ni087–16 from Technical University–Sofia

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference42 articles.

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