Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 2011; 26(1): 37-49

Printed March 1, 2011

https://doi.org/10.4134/CKMS.2011.26.1.37

Copyright © The Korean Mathematical Society.

Asymptotic equivalence for linear differential systems

Sung Kyu Choi, Namjip Koo, and Keonhee Lee

Chungnam National University, Chungnam National University, Chungnam National University

Abstract

We investigate the asymptotic equivalence for linear differential systems by means of the notions of $t_\infty$-similarity and strong stability.

Keywords: linear differential system, adjoint system, strong stability, $t_\infty$-similarity, linear asymptotic equilibrium, asymptotic equivalence

MSC numbers: 34C41, 34D05, 34D23, 34G10

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