Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2014; 51(1): 43-54

Printed January 1, 2014

https://doi.org/10.4134/BKMS.2014.51.1.43

Copyright © The Korean Mathematical Society.

Existence of solutions for nonlinear evolution equations with infinite delay

Qixiang Dong and Gang Li

Yangzhou University, Yangzhou University

Abstract

This paper is concerned with nonlinear evolution differential equations with infinite delay in Banach spaces. Using Kato's approximating approach, existence and uniqueness of strong solutions are obtained.

Keywords: nonlinear evolution equation, m-accretive operator, approximate, strong solution

MSC numbers: Primary 35D05, 47H06