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Optimization
A Journal of Mathematical Programming and Operations Research
Volume 55, 2006 - Issue 1-2: Issue: In Celebration of Prof. Dr. N.U. Ahmed's 70th Birthday, Guest Editors: Kok Lay Teo, Xin Min Yang and Alexander M. Rubinov
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Nonlinear impulsive integro-differential equations of mixed type and optimal controls

W. Wei Department of Mathematics, University of Guizhou, Guiyang, Guizhou 550025, PR ChinaCorrespondence[email protected]
,
X. Xiang Department of Mathematics, University of Guizhou, Guiyang, Guizhou 550025, PR China
&
Y. Peng Department of Mathematics, University of Guizhou, Guiyang, Guizhou 550025, PR China
Pages 141-156 | Received 10 Nov 2004, Accepted 16 Mar 2005, Published online: 11 Oct 2011
 
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Abstract

In this article, nonlinear impulsive integro-differential equations of mixed type on Banach spaces are considered. Existence of PC-mild solutions is proved. Existence of optimal controls of systems governed by impulsive integro-differential equations of mixed type is also presented. An example is given for demonstration.

†Dedicated to Professor N.U. Ahmed on the occasion of his 70th birthday.

Acknowledgment

This work is supported by the National Science Foundation of China under Grant no. 10361002.

Notes

†Dedicated to Professor N.U. Ahmed on the occasion of his 70th birthday.

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