Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2011; 48(3): 585-597

Printed May 1, 2011

https://doi.org/10.4134/JKMS.2011.48.3.585

Copyright © The Korean Mathematical Society.

Regularity of solutions of abstract quasilinear delay integrodifferential equations

Dong Gun Park, Krishnan Balachandran, and Francis Paul Samuel

Dong-A University, Bharathiar University, Bharathiar University

Abstract

We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach fixed point theorem.

Keywords: contraction principle, mild and classical solution, semigroup theory

MSC numbers: 34G20, 47D03, 47H10

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