Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2001; 38(1): 175-182

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

Existence of a mild solution of a functional integrodifferential equation with nonlocal condition

K. Balachandran and J. Y. Park

Bharathiar University

Abstract

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In this paper we prove the existence and uniqueness of a mild solution of a functional differential equation with nonlocal condition using the semigroup theory and the Banach fixed point principle.

Keywords: $C_0$ semigroup, Banach fixed point principle, functional integrodifferential equation, nonlocal condition

MSC numbers: 34G20, 47H20

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