Publisher : Korea Society of Mathematical Education
DOI : 10.7468/jksmeb.2016.23.1.1
Title & Authors
UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC PROPERTY IN PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS CHOI, SANG IL; GOO, YOON HOE;
This paper shows that the solutions to the perturbed differential system have asymptotic property and uniform Lipschitz stability. To show these properties, we impose conditions on the perturbed part , and on the fundamental matrix of the unperturbed system y' = f(t, y).
uniformly Lipschitz stability;uniformly Lipschitz stability in variation;exponentially asymptotic stability;exponentially asymptotic stability in variation;
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