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.
On Boundary Value Problems for Degenerate Differential Inclusions in Banach Spaces / V. Obukhovski; P. Zecca. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - STAMPA. - 13:(2003), pp. 769-784. [10.1155/S108533750330301X]
On Boundary Value Problems for Degenerate Differential Inclusions in Banach Spaces.
ZECCA, PIETRO
2003
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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