On boundary value problems for degenerate differential inclusions in Banach spaces

On boundary value problems for degenerate differential inclusions in Banach spaces

We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. Further, these techniques are used...

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Main Authors: Valeri Obukhovskii, Pietro Zecca
Format: Article
Language:English
Published: Hindawi Limited 2003-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S108533750330301X
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spelling doaj-0df4f0695e354f99ab1890972e246c722020-11-24T20:46:02ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092003-01-0120031376978410.1155/S108533750330301XOn boundary value problems for degenerate differential inclusions in Banach spacesValeri Obukhovskii0Pietro Zecca1Department of Mathematics, Voronezh University, Voronezh 394 693, RussiaDipartimento di Energetica “Sergio Stecco”, Università degli Studi di Firenze, Firenze 50139, ItalyWe consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. Further, these techniques are used to obtain the solvability of general boundary value problems for a given class of inclusions. Some particular cases including periodic problems are considered.http://dx.doi.org/10.1155/S108533750330301X
collection DOAJ
language English
format Article
sources DOAJ
author Valeri Obukhovskii
Pietro Zecca
spellingShingle Valeri Obukhovskii
Pietro Zecca
On boundary value problems for degenerate differential inclusions in Banach spaces
Abstract and Applied Analysis
author_facet Valeri Obukhovskii
Pietro Zecca
author_sort Valeri Obukhovskii
title On boundary value problems for degenerate differential inclusions in Banach spaces
title_short On boundary value problems for degenerate differential inclusions in Banach spaces
title_full On boundary value problems for degenerate differential inclusions in Banach spaces
title_fullStr On boundary value problems for degenerate differential inclusions in Banach spaces
title_full_unstemmed On boundary value problems for degenerate differential inclusions in Banach spaces
title_sort on boundary value problems for degenerate differential inclusions in banach spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2003-01-01
description We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. Further, these techniques are used to obtain the solvability of general boundary value problems for a given class of inclusions. Some particular cases including periodic problems are considered.
url http://dx.doi.org/10.1155/S108533750330301X
work_keys_str_mv AT valeriobukhovskii onboundaryvalueproblemsfordegeneratedifferentialinclusionsinbanachspaces
AT pietrozecca onboundaryvalueproblemsfordegeneratedifferentialinclusionsinbanachspaces
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