Valeri Obukhovskii, Pietro Zecca, "On boundary value problems for degenerate differential inclusions in Banach spaces", Abstract and Applied Analysis, vol. 2003, Article ID 712348, 16 pages, 2003. https://doi.org/10.1155/S108533750330301X
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 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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