On boundary-value problems for second order perturbed differential inclusions

This article studies the existence of solutions to boundary-value problems for second order multi-valued perturbed differential inclusions under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions and the weaker...

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Bibliographic Details
Published inApplicable analysis Vol. 84; no. 9; pp. 953 - 970
Main Authors Dhage, B. C., Graef, J. R.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.09.2005
Subjects
2000 Mathematics Subject Classification: 34A60
Boundary-value problems
Differential inclusions
Existence theorem
Extremal solutions
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Summary:This article studies the existence of solutions to boundary-value problems for second order multi-valued perturbed differential inclusions under the mixed Lipschitz and Carathéodory conditions. The existence of extremal solutions is also obtained under certain monotonicity conditions and the weaker nonconvexity conditions for multi-valued functions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0003-6811
1563-504X
DOI:10.1080/00036810500136197