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

Y. Peng

Abstract and Applied Analysis, 2010, vol. 2010, 1-16

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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:213503

DOI: 10.1155/2010/213503

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