Electron. J. Diff. Eqns., Vol. 2007(2007), No. 178, pp. 1-8.

Existence of solutions for some Hammerstein type integro-differential inclusions

Nguyen Thi Hoai, Nguyen Van Loi

Abstract:
In the present work we obtain existence results for Hammerstein type integro-differential inclusions in a finite dimensional space for the cases when the integral multifunction satisfies upper Caratheodory conditions and when it is almost lower semicontinuous.

Submitted December 27, 2006. Published December 17, 2007.
Math Subject Classifications: 47H04, 34A60, 47H10.
Key Words: Multivalued map; differential inclusion; fixed point.

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Nguyen Thi Hoai
Faculty of mathematics
Voronezh State Pedagogical University, Russia
email: nthoai0682@yahoo.com
Nguyen Van Loi
Faculty of mathematics
Voronezh State Pedagogical University, Russia
email: loitroc@yahoo.com

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