Integral boundary value problem for impulsive integro-differential equations in Banach spaces |
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| Authors: | Guotao Wang Lihong Zhang Guangxing Song |
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| Institution: | 1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi, 041004, P.R. China
2. Department of Mathematics, China University of Petroleum, Qingdao, Shandong, 266555, P.R. China
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| Abstract: | In this paper, by using the cone theory and monotone iterative technique, we investigate the existence of extremal solutions and unique solution of the integral boundary value problem for a class of first-order impulsive integro-differential equations in a real Banach space. An explicit iterative scheme for the unique solution and an error estimate of the approximation sequence are also derived. |
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