Extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces |
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| Authors: | Chen Fangqi |
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| Affiliation: | (1) Department of Mathematics, Tianjin University, 300072 Tianjin, China;(2) Department of Mathematics, Shandong University, 250100 Jinan, China |
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| Abstract: | In this paper, using the monotone iterative method, we study the existence of extreme solutions of initial value problems for nonlinear second order integrodifferential equations in Banach spaces. Some existence theorems of extreme solations are obtained. |
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| Keywords: | Iategrodifferential equations Kuratowski measure of noncompactness lower and upper solutions monotone iterative method |
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