BOUDARY VALUE PROBLEM FOR DIFFERENTIAL INCLISIONS
Authors:
Type:
Article
Pages:
from 104
to 107
Status:
Published
Received:
29.08.2014
Accepted:
03.10.2014
Published:
03.10.2014
Language:
Russian
Keywords:
differential inclusions, mild solution, condensing multimap, fixed point
Abstract (English):
We consider the general boundary value problem for a semilinear functional differential inclusions in Banach space. We construct the multivalued integral operator whose fixed points are mild solutions of the above problem. We apply the topological degree method to obtain the existence theorem.
We consider the general boundary value problem for a semilinear functional differential inclusions in Banach space. We construct the multivalued integral operator whose fixed points are mild solutions of the above problem. We apply the topological degree method to obtain the existence theorem.
Keywords:
differential inclusions, mild solution, condensing multimap, fixed point
differential inclusions, mild solution, condensing multimap, fixed point
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2. Kamenskii M. Condensing maltivalued maps and semilinear differential inclusions in banach spaces / M. Kamenskii, V. Obukhovskii, P. Zecca. - Berlin-New York: Walter de Gruyter, 2001. - 231 p.
