Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces
Keyword(s):
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.
2009 ◽
Vol 57
(1)
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pp. 42-53
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2007 ◽
Vol 330
(2)
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pp. 1139-1151
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2009 ◽
Vol 58
(7)
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pp. 1425-1432
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2011 ◽
Vol 48
(1)
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pp. 101-116
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2009 ◽
Vol 21
(1)
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pp. 21-37
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2007 ◽
Vol 54
(9-10)
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pp. 1293-1301
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