BASIC THEORY OF NONLINEAR THIRD-ORDER Q-DIFFERENCE EQUATIONS AND INCLUSIONS-Reference-Cited by-同舟云学术

BASIC THEORY OF NONLINEAR THIRD-ORDER Q-DIFFERENCE EQUATIONS AND INCLUSIONS

Published:2013-02-01 Issue:1 Volume:18 Page:122-135
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
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Author:

Ahmad Bashir¹,Nieto Juan Jose²

Affiliation:

1. King Abdulaziz University, Faculty of Science P.O. Box 80203, 21589 Jeddah, Saudi Arabia

2. King Abdulaziz University, Faculty of Science P.O. Box 80203, 21589 Jeddah, Saudi Arabia; Universidad de Santiago de Compostela, Facultad de Matematicas 15782 Santiago, Spain

Abstract

We investigate the existence of solutions for boundary value problems of the third-order q-difference equations and inclusions. Our results are based on some standard fixed point theorems. In case of inclusion problem, the existence results are obtained for convex as well as nonconvex multi-valued maps. We also discuss the existence of extremal solutions for the inclusion problem.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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