periodic solutions of semilinear impulsive periodic system with time-varying generating operators on banach space
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ID: 231550
2008
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Abstract
A class of semilinear impulsive periodic systems with time-varying generating operators on Banach space is considered. Using impulsive periodic evolution operator given by us, the T0-periodic PC-mild solution is introduced and suitable Poincaré operator is constructed. Showing the compactness of Poincaré operator and using a new generalized Gronwall inequality with mixed type integral operators given by us, we utilize Leray-Schauder fixed point theorem to prove the existence of T0-periodic PC-mild solutions. Our method is an innovation and it is much different from methods of other papers. At last, an example is given for demonstration.
| Reference Key |
wang2008mathematicalperiodic
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|---|---|
| Authors | ;JinRong Wang;X. Xiang;W. Wei |
| Journal | journal of power sources |
| Year | 2008 |
| DOI |
10.1155/2008/183489
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| URL | |
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