On boundary value problems for degenerate differential inclusions in Banach spaces

Obukhovskii, Valeri; Zecca, Pietro

Abstr. Appl. Anal., Tome 2003 (2003) no. 7, p. 769-784 / Harvested from Project Euclid

Résumé

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.

Publié le : 2003-07-17
Classification: 34A60, 34B15, 47H04, 47H09, 47H11, 47A06

@article{1059416444,
     author = {Obukhovskii, Valeri and Zecca, Pietro},
     title = {On boundary value problems for degenerate differential inclusions in Banach spaces},
     journal = {Abstr. Appl. Anal.},
     volume = {2003},
     number = {7},
     year = {2003},
     pages = { 769-784},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1059416444}
}

Obukhovskii, Valeri; Zecca, Pietro. On boundary value problems for degenerate differential inclusions in Banach spaces. Abstr. Appl. Anal., Tome 2003 (2003) no. 7, pp.  769-784. http://gdmltest.u-ga.fr/item/1059416444/