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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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2010/213503 |
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| _version_ | 1832560007957184512 |
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| author | Y. Peng |
| author_facet | Y. Peng |
| author_sort | Y. Peng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ead591499ef844f6a75903f2b084dff5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ead591499ef844f6a75903f2b084dff52025-02-03T01:28:44ZengWileyAbstract and Applied Analysis1085-33751687-04092010-01-01201010.1155/2010/213503213503Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power SpacesY. Peng0Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, ChinaA 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.http://dx.doi.org/10.1155/2010/213503 |
| spellingShingle | Y. Peng Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces Abstract and Applied Analysis |
| title | Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces |
| title_full | Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces |
| title_fullStr | Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces |
| title_full_unstemmed | Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces |
| title_short | Second-Order Nonlinear Impulsive Integro-Differential Equations of Mixed Type and Optimal Controls in Fractional Power Spaces |
| title_sort | second order nonlinear impulsive integro differential equations of mixed type and optimal controls in fractional power spaces |
| url | http://dx.doi.org/10.1155/2010/213503 |
| work_keys_str_mv | AT ypeng secondordernonlinearimpulsiveintegrodifferentialequationsofmixedtypeandoptimalcontrolsinfractionalpowerspaces |