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On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces

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  • Tran Dinh Ke
  • Valeri Obukhovskii
  • Ngai-Ching Wong
  • Jen-Chih Yao

Abstract

We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set.

Suggested Citation

  • Tran Dinh Ke & Valeri Obukhovskii & Ngai-Ching Wong & Jen-Chih Yao, 2012. "On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-26, April.
    • Handle: RePEc:hin:jnlaaa:137576
    DOI: 10.1155/2012/137576
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