Boundary Value Problems for q-Difference Inclusions

Boundary Value Problems for q-Difference Inclusions

We investigate the existence of solutions for a class of second-order q-difference inclusions with nonseparated boundary conditions. By using suitable fixed-point theorems, we study the cases when the right-hand side of the inclusions has convex as well as nonconvex values.

Bibliographic Details
Main Authors: Bashir Ahmad, Sotiris K. Ntouyas
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/292860
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spelling doaj-90231f665efc4baeaccdbbb536587bf12020-11-24T20:52:25ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/292860292860Boundary Value Problems for q-Difference InclusionsBashir Ahmad0Sotiris K. Ntouyas1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceWe investigate the existence of solutions for a class of second-order q-difference inclusions with nonseparated boundary conditions. By using suitable fixed-point theorems, we study the cases when the right-hand side of the inclusions has convex as well as nonconvex values.http://dx.doi.org/10.1155/2011/292860
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Sotiris K. Ntouyas
spellingShingle Bashir Ahmad
Sotiris K. Ntouyas
Boundary Value Problems for q-Difference Inclusions
Abstract and Applied Analysis
author_facet Bashir Ahmad
Sotiris K. Ntouyas
author_sort Bashir Ahmad
title Boundary Value Problems for q-Difference Inclusions
title_short Boundary Value Problems for q-Difference Inclusions
title_full Boundary Value Problems for q-Difference Inclusions
title_fullStr Boundary Value Problems for q-Difference Inclusions
title_full_unstemmed Boundary Value Problems for q-Difference Inclusions
title_sort boundary value problems for q-difference inclusions
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description We investigate the existence of solutions for a class of second-order q-difference inclusions with nonseparated boundary conditions. By using suitable fixed-point theorems, we study the cases when the right-hand side of the inclusions has convex as well as nonconvex values.
url http://dx.doi.org/10.1155/2011/292860
work_keys_str_mv AT bashirahmad boundaryvalueproblemsforqdifferenceinclusions
AT sotiriskntouyas boundaryvalueproblemsforqdifferenceinclusions
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