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

  • K. Balachandran
  • K. Uchiyama

DOI: 10.1007/BF02829493

Cite this article as:
Balachandran, K. & Uchiyama, K. Proc. Indian Acad. Sci. (Math. Sci.) (2000) 110: 225. doi:10.1007/BF02829493


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.


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

Copyright information

© Indian Academy of Sciences 2000

Authors and Affiliations

  • K. Balachandran
    • 1
  • K. Uchiyama
    • 1
    • 2
  1. 1.Department of MathematicsBharathiar UniversityCoimbatoreIndia
  2. 2.Department of MathematicsSophia UniversityTokyoJapan

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