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Existence of solutions of nonlinear integrodifferential equations of sobolev type with nonlocal condition in Banach spaces

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Abstract

In this paper we prove the existence of mild and strong solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal condition. The results are obtained by using semigroup theory and the Schauder fixed point theorem.

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Authors and Affiliations

  1. Department of Mathematics, Bharathiar University, 641 046, Coimbatore, India

    K. Balachandran & K. Uchiyama

  2. Department of Mathematics, Sophia University, 120-8554, Tokyo, Japan

    K. Uchiyama

Authors
  1. K. Balachandran
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  2. K. Uchiyama
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Balachandran, K., Uchiyama, K. Existence of solutions of nonlinear integrodifferential equations of sobolev type with nonlocal condition in Banach spaces. Proc. Indian Acad. Sci. (Math. Sci.) 110, 225–232 (2000). https://doi.org/10.1007/BF02829493

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  • DOI: https://doi.org/10.1007/BF02829493

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