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PBVP of integrodifferential equations with Carathéodory functions |
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| Authors: | Zhuang Wan Chen Yubo |
| Institution: | (1) Department of Mathematics, Shandong Normal University, 250014 Jinan, China |
| Abstract: | We study the periodic boundary value problems for nonlinear integro-differential equations of Volterra type with Carathéodory functions. For two situations relative to lower and upper solutions α and β∶α≤ß or ß≤α, the existence of solutions and the monotone iterative method for establishing extreme solutions are considered. |
| Keywords: | Integrodifferential equations Periodic boundary value problems Carathéodory conditions Lower and upper solutions Sobolev spaces Topological degree |
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