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, issue 1

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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https://doi.org/10.1155/2010/213503

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:213503

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