Existence and uniqueness of solutions for nonlinear impulsive partial differential equations with delay |
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| Authors: | Lianhua He Anping Liu |
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| Institution: | 1. School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074, PR China;2. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, 550001, PR China |
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| Abstract: | In this paper, a system of nonlinear impulsive partial differential equations with delay is investigated by the method of upper–lower solutions. The existence-uniqueness result of this system and the comparison principle of the corresponding equations are obtained. An application is given to some model problems in ecology. |
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