A unique solution of initial value problems for first order impulsive integro-differential equations of mixed type in Banach spaces |
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| Authors: | Li Shan Liu Congxin WuFei Guo |
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| Affiliation: | a Department of Mathematics, Harbin Institute of Technology, Harbin 150001, People's Republic of China
b Department of Mathematics, Qufu Normal University, Qufu, Shandong 273165, People's Republic of China |
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| Abstract: | In this paper, we investigate initial value problem for first order impulsive integro-differential equation of mixed type in a Banach space. Without any compactness-type assumption, we obtain a unique solution of the equation, an explicit iterative approximation of the solution and an error estimate of the approximation sequence. Our result improves and extends many recent results. |
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| Keywords: | Banach space Unique solution Impulsive integro-differential equation of mixed type Initial value problem |
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