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http://dx.doi.org/10.14403/jcms.2016.29.2.347

BOUNDEDNESS IN FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY  

Goo, Yoon Hoe (Department of Mathematics Hanseo University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.29, no.2, 2016 , pp. 347-359 More about this Journal
Abstract
In this paper, we show that the solutions to perturbed functional differential system $$y^{\prime}=f(t,y)+{\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$$, have a bounded properties. To show the bounded properties, we impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),Ty(s))ds$ and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of $t_{\infty}$-similarity.
Keywords
h-stability; $t_{\infty}$-similarity; bounded; functional perturbed differential system;
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Times Cited By KSCI : 3  (Citation Analysis)
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