Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2021; 36(4): 759-770

Online first article September 15, 2021      Printed October 31, 2021

https://doi.org/10.4134/CKMS.c200370

Copyright © The Korean Mathematical Society.

Bounded and periodic solutions of inhomogeneous linear evolution equations

Trinh Viet Duoc

Thang Long Institute of Mathematics and Applied Sciences

Abstract

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The purpose of this paper is to prove unique existence of bounded solution and periodic solution to inhomogeneous linear evolution equations which trajectories of these solutions belong to given admissible Banach function space.

Keywords: Exponential dichotomy, admissible Banach function spaces, evolution family, bounded and periodic solutions, inhomogeneous linear evolution equations

MSC numbers: 34D09, 34C25, 47D06

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