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ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1999; 14(1): 223-231

Printed March 1, 1999

Copyright © The Korean Mathematical Society.

Nonlinear Integrodifferential Equations of Sobolev Type with Nonlocal Conditions in Banach Spaces

K. Balachandran, D. G. Park, Y. C. Kwun

Bharathiar University, Dong-A University, Dong-A University

Abstract

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In this paper we prove the existence of solutions of a nonlinear integrodifferential equation of Sobolev type with nonlocal conditions. The results are obtained by using compact semigroups and the Schauder fixed point theorem.

Keywords: existence of solutions, nonlocal conditions, compact semigroups, Schauder fixed point theorem

MSC numbers: Primary 45J05; Secondary 45L05

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