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.

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2011; no. 2011; pp. 845 - 859
Main Authors Ahmad, Bashir, Ntouyas, Sotiris. K.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2011
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Hindawi Limited
Wiley
Subjects
Banach spaces
Boundary conditions
Boundary value problems
Calculus
Difference equations
Existence theorems
Fixed point theory
Inclusions
Mathematical analysis
Mathematical functions
Mathematical models
Ordinary differential equations
Studies
Theorems
Saudi Arabia
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/292860