Abstract and Applied Analysis

Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces

Y. Peng

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Abstract

A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in fractional power spaces is considered. We introduce the reasonable PC- α -mild solution of second-order nonlinear impulsive integro-differential equations of mixed type and prove its existence. The existence of optimal controls for a Lagrange problem of systems governed by second-order nonlinear impulsive integro-equations of mixed type is also presented. An example is given for demonstration.

Article information

Source
Abstr. Appl. Anal., Volume 2010 (2010), Article ID 213503, 16 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313170943

Digital Object Identifier
doi:10.1155/2010/213503

Mathematical Reviews number (MathSciNet)
MR2754199

Zentralblatt MATH identifier
1207.45010

Citation

Peng, Y. Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces. Abstr. Appl. Anal. 2010 (2010), Article ID 213503, 16 pages. doi:10.1155/2010/213503. https://projecteuclid.org/euclid.aaa/1313170943


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