Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2017; 32(2): 457-466

Online first article January 18, 2017      Printed April 30, 2017

https://doi.org/10.4134/CKMS.c160104

Copyright © The Korean Mathematical Society.

The existence of S-asymptotically $\omega$-periodic mild solutions for some differential equation with nonlocal conditions

Hyun Ho Jang and Hyun Mork Lee

Chungnam National University, Chungnam National University

Abstract

We study the existence and uniqueness of S-asymptotically $\omega$-periodic mild solutions for some partial functional integrodifferential equations with infinite delay and nonlocal conditions.

Keywords: almost periodicity, partial functional integrodifferential equation, mild solution, S-asymptotically $\omega$-periodic, nonlocal condition, infinite delay

MSC numbers: 34K06, 34K20, 34K30, 47D06