# American Institute of Mathematical Sciences

January  2007, 3(1): 119-128. doi: 10.3934/jimo.2007.3.119

## General integro-differential equations and optimal controls on Banach spaces

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

Received  November 2005 Revised  August 2006 Published  January 2007

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.
Citation: Sebti Kerbal, Yang Jiang. General integro-differential equations and optimal controls on Banach spaces. Journal of Industrial & Management Optimization, 2007, 3 (1) : 119-128. doi: 10.3934/jimo.2007.3.119
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