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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Veröffentlicht in:Abstract and Applied Analysis Jg. 2010; H. 2010; S. 398 - 413
1. Verfasser: Peng, Y.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York Hindawi Limiteds 01.01.2010
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
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ISSN:1085-3375, 1687-0409
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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.
AbstractList 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- \alpha -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.
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.
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.
Author Y. Peng
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10.1016/j.jmaa.2005.12.032
10.1007/978-1-4615-6359-4
ContentType Journal Article
Copyright Copyright © 2010 Y. Peng.
Copyright © 2010 Y. Peng. Y. Peng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright 2010 Hindawi Publishing Corporation
Copyright_xml – notice: Copyright © 2010 Y. Peng.
– notice: Copyright © 2010 Y. Peng. Y. Peng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
– notice: Copyright 2010 Hindawi Publishing Corporation
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Snippet A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in...
A class of second‐order nonlinear impulsive integro‐differential equations of mixed type whose principal part is given by time‐varying generating operators in...
A class of second-order nonlinear impulsive integro-differential equations of mixed type whose principal part is given by time-varying generating operators in...
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SubjectTerms Banach spaces
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Studies
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Title Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces
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https://dx.doi.org/10.1155/2010/213503
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http://projecteuclid.org/euclid.aaa/1313170943
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Volume 2010
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