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Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces |
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| Authors: | Hua Su Lishan Liu Xiaoyan Zhang Yonghong Wu |
| Affiliation: | aDepartment of Mathematics, Qufu Normal University, Qufu 273165, PR China;bSchool of Mathematics and System Sciences, Shandong University, Jinan 250100, PR China;cDepartment of Mathematics and Statistics, Curtin University of Technology, Box 6845, Perth, Australia |
| Abstract: | In this paper, the global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces are investigated. The existence and uniqueness of solutions and their iterative approximation are obtained by using Mönch fixed point theorem and new comparison results. The results presented here essentially improve, generalize and unify many well-known results. |
| Keywords: | Second-order integro-differential equations of mixed type Measure of non-compactness Global solutions Fixed point Banach space |
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