Title | FIRST ORDER FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSIONS WITH PERIODIC BOUNDARY CONDITIONS |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | DHAGE, BAPURAOC |
Secondary Title | Communications in Applied Analysis |
Volume | 13 |
Issue | 1 |
Start Page | 71 |
Pagination | 92 |
Date Published | 01/2009 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 34A60., 47H10 |
Abstract | In this paper, an existence theorem for a first order functional integro-differential inclusion in Banach algebras with the periodic boundary conditions is proved via a new fixed point principle of Leray-Schauder type under generalized Lipschitz and Carath ́eodory conditions. An existence theorem for the extremal solutions is also obtained under certain monotonicity conditions.
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URL | http://www.acadsol.eu/en/articles/13/1/8.pdf |
Short Title | A FUNCTIONAL INTEGRO-DIFFERENTIAL INCLUSION |
Refereed Designation | Refereed |
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