Abstract and Applied Analysis
Volume 2003 (2003), Issue 13, Pages 769-784
doi:10.1155/S108533750330301X
On boundary value problems for degenerate differential inclusions in Banach spaces
Valeri Obukhovskii1
and Pietro Zecca2
1Department of Mathematics, Voronezh University, Voronezh 394 693, Russia
2Dipartimento di Energetica “Sergio Stecco”, Università degli Studi di Firenze, Firenze 50139, Italy
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.