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

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-differentia...

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Vydáno v:Abstract and Applied Analysis Ročník 2010; číslo 2010; s. 398 - 413
Hlavní autor: Peng, Y.
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Hindawi Limiteds 01.01.2010
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Témata:
Banach spaces
Mathematical models
Studies
ISSN:1085-3375, 1687-0409
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Shrnutí: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.
Bibliografie:ObjectType-Article-1
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content type line 14
ISSN:1085-3375
1687-0409
DOI:10.1155/2010/213503