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http://dx.doi.org/10.14403/jcms.2016.29.1.1

ASYMPTOTIC PROPERTY FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS  

Im, Dong Man (Department of Mathematics Education, Cheongju University)
Goo, Yoon Hoe (Department of Mathematics, Hanseo University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.1, 2016 , pp. 1-11 More about this Journal
Abstract
This paper shows that the solutions to nonlinear perturbed functional differential system $$y^{\prime}=f(t,y)+{\int}^t_{t_0}g(s,y(s),Ty(s))ds+h(t,y(t))$$ have the asymptotic property by imposing conditions on the perturbed part ${\int}^t_{t_0}g(s,y(s),Ty(s))ds,h(t,y(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).
Keywords
asymptotically stable; exponentially asymptotic stability; exponentially asymptotic stability in variation; nonlinear nonautonomous system;
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Times Cited By KSCI : 4  (Citation Analysis)
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