Existence for neutral impulsive functional differential equations with nonlocal conditions |
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| Authors: | M Li M Han |
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| Institution: | a Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
b Department of Applied Mathematics, Donghua University, Shanghai 201620, P R. China |
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| Abstract: | In this paper, we study a class of neutral impulsive functional differential equations with nonlocal conditions. We suppose that the linear part satisfies the Hille-Yosida condition on a Banach space and it is not necessarily densely defined. We give some sufficient conditions ensuring the existence of integral solutions and strict solutions. To illustrate our abstract results, we conclude this work by an example. |
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| Keywords: | Integrated semigroup Hille-Yosida condition Integral solution Strict solution Nonlocal conditions |
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