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Existence and uniqueness of solutions for initial value problems of second order ordinary differential equations in Banach spaces |
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| Authors: | Hong Shihuang Hu Shigeng |
| Institution: | 1. Hainan University, Haikou 570228, P. R. China;2. Department of Mathematics, Huazhong University of Scienceand Technology, Wuhan 430074, P. R. China |
| Abstract: | In this paper, the initial value problems of second order ordinary differential equations in Banach spaces are discussed. By using the monotone iterative technique, some existence and uniqueness theorems for solutions are obtained. |
| Keywords: | ordered Banach spaces measures of noncompactness mixed monotone operators |
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