GLOBAL EXISTENCE RESULTS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY-Reference-Cited by-同舟云学术

GLOBAL EXISTENCE RESULTS FOR FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH STATE-DEPENDENT DELAY

Published:2014-09-01 Issue:4 Volume:19 Page:524-536
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Benchohra Mouffak¹,Henderson Johnny²,Medjadj Imene³

Affiliation:

1. Laboratory of Mathematics, University of Sidi Bel-Abbes P.O. Box 89, 22000 Sidi Bel-Abbes, Algeria; Department of Mathematics, Faculty of Science, King Abdulaziz University P.O. Box 80203, 21589 Jeddah, Saudi Arabia

2. Department of Mathematics, Baylor University Waco, TX 76798-7328, USA

3. Laboratory of Mathematics, University of Sidi Bel-Abbes P.O. Box 89, 22000 Sidi Bel-Abbes, Algeria

Abstract

Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

Reference37 articles.

1. EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

2. Dynamic Systems and Control with Applications

3. Existence results for an impulsive neutral functional differential equation with state-dependent delay

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