American Institute of Mathematical Sciences

Advanced
2005, 2005(Special): 911-919. doi: 10.3934/proc.2005.2005.911

A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces

X. Xiang 1, , Y. Peng 1, and  W. Wei 2,

1. 

Department of Mathematics, Guizhou University, Guiyang, Guizhou, 550025, China, China
2. 

Department of Mathematics, Guizou University, Guiyang, Guizhou Province

Received  July 2004 Revised  March 2005 Published  September 2005

In this paper quite general impulsive integral differential equations on Banach space are considered. Existence of $PWC-\alpha $-mild solutions is proved. Existence of optimal controls of systems governed by impulsive integral differential equations is also presented. An example is given for demonstration.
Keywords: Fractional power space, Compactness, Semigroup, Integral operator, Existence., Optimal control.
Mathematics Subject Classification: 34G20, 34K30, 35B62, 93C2.
Citation: X. Xiang, Y. Peng, W. Wei. A general class of nonlinear impulsive integral differential equations and optimal controls on Banach spaces. Conference Publications, 2005, 2005 (Special) : 911-919. doi: 10.3934/proc.2005.2005.911
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