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PBVP of integrodifferential equations with Carathéodory functions

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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.

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Authors and Affiliations

  1. Department of Mathematics, Shandong Normal University, 250014, Jinan, China

    Zhuang Wan & Chen Yubo

Authors
  1. Zhuang Wan
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  2. Chen Yubo
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Project supported by the National Natural Science Foundation of China

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Wan, Z., Yubo, C. PBVP of integrodifferential equations with Carathéodory functions. Acta Mathematica Sinica 14, 463–472 (1998). https://doi.org/10.1007/BF02580403

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  • DOI: https://doi.org/10.1007/BF02580403

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