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http://dx.doi.org/10.7468/jksmeb.2016.23.1.1

UNIFORMLY LIPSCHITZ STABILITY AND ASYMPTOTIC PROPERTY IN PERTURBED NONLINEAR DIFFERENTIAL SYSTEMS  

CHOI, SANG IL (DEPARTMENT OF MATHEMATICS, HANSEO UNIVERSITY)
GOO, YOON HOE (DEPARTMENT OF MATHEMATICS, HANSEO UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.23, no.1, 2016 , pp. 1-12 More about this Journal
Abstract
This paper shows that the solutions to the perturbed differential system $y^{\prime}=f(t, y)+\int_{to}^{t}g(s,y(s),Ty(s))ds+h(t,y(t))$ have asymptotic property and uniform Lipschitz stability. To show these properties, we impose conditions on the perturbed part $\int_{to}^{t}g(s,y(s),Ty(s))ds+h(t,y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y).
Keywords
uniformly Lipschitz stability; uniformly Lipschitz stability in variation; exponentially asymptotic stability; exponentially asymptotic stability in variation;
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Times Cited By KSCI : 5  (Citation Analysis)
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