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On boundary value problems for degenerate differential inclusions in Banach spaces

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  • Valeri Obukhovskii
  • Pietro Zecca

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.

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Handle: RePEc:wly:jnlaaa:v:2003:y:2003:i:13:p:769-784
DOI: 10.1155/S108533750330301X
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