On boundary value problems for degenerate differential inclusions in Banach spaces

Valeri Obukhovskii and Pietro Zecca

Abstract and Applied Analysis, 2003, vol. 2003, 1-16

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:712348

DOI: 10.1155/S108533750330301X

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