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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 1997; 34(2): 407-426

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

Strong-equiasymptotic stability of perturbed linear differential equations when the perturbation is large and depends on time

Bongsoo Ko, Younhee Ko, Eunsook Bang, and Dongshik Kang

Cheju National University, Cheju National University, Cheju National University and Cheju National University

Abstract

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We consider a system of perturbed linear differential equation $x'=A(t)x+f(t, x)$ and obtain conditions to ensure the strong-equiasymptotic stability of the zero solution.

Keywords: strong-equiasymptotic stability, perturbed linear differential equations

MSC numbers: 34D

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