General integro-differential equations and optimal controls on Banach spaces

Sebti Kerbal; Yang Jiang

doi:10.3934/jimo.2007.3.119

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2007, Volume 3, Issue 1: 119-128. Doi: 10.3934/jimo.2007.3.119

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General integro-differential equations and optimal controls on Banach spaces

Sebti Kerbal^1, and
Yang Jiang^2,

1.
Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Al-Khoud 123, Muscat
2.
Science College, Guizhou University, Guiyang Guizhou, P. R.

Received: November 2005

Revised: August 2006

Published: January 2007

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Abstract

In this paper a general integro-differential equations on Banach space are considered. Existence of $\alpha $-mild solutions is proved. Existence of optimal controls of systems governed by general integro-differential equations is also presented.

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Mathematics Subject Classification: Primary: 49J22; Secondary: 47D06,34G10, 47B06.

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