Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2023; 38(4): 1153-1162

Online first article October 17, 2023      Printed October 31, 2023

https://doi.org/10.4134/CKMS.c230015

Copyright © The Korean Mathematical Society.

Circular spectrum and asymptotic periodic solutions to a class of non-densely defined evolution equations

Le Anh Minh, Nguyen Ngoc Vien

Hong Duc University; Hai Duong University

Abstract

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In this paper, for the bounded solution of the non-densely defined non-autonomous evolution equation, we present the condition for asymptotic periodicity by using the circular spectral theory of functions on the half line and the extrapolation theory of non-densely defined evolution equation.

Keywords: Circular spectrum, asymptotic periodic solution, evolution semigroup, Massera theorem

MSC numbers: Primary 34G10; Secondary 34C25, 34D05

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