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

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      https://www.ias.ac.in/article/fulltext/pmsc/110/02/0225-0232

    • Keywords

       

      Integrodifferential equation; Sobolev type; nonlocal condition; uniformly continuous semigroup; Schauder’s fixed point theorem

    • 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.

    • Author Affiliations

       

      K Balachandran1 K Uchiyama1 2

      1. Department of Mathematics, Bharathiar University, Coimbatore - 641 046, India
      2. Department of Mathematics, Sophia University, Tokyo - 120-8554, Japan
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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