[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2019.32.2.225

PERTURBATIONS OF FUNCTIONAL DIFFERENTIAL SYSTEMS

Im, Dong Man (Department of Mathematics Education, Cheongju University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.32, no.2, 2019 , pp. 225-238 More about this Journal

Abstract

We show the boundedness and uniform Lipschitz stability for the solutions to the functional perturbed differential system $y^{\prime}=f(t,y)+{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^t}g(s,y(s),\;T_1y(s))ds+h(t,y(t),\;T_2y(t))$ , under perturbations. We impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s)$ , $T_1y(s))ds$ , $h(t,y(t)$ , $T_2y(t))$ , and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of h-stability.

Keywords

h-stability; $t_{\infty}$ -similarity; bounded; uniformly Lipschitz stable; uniformly Lipschitz stable in variation;

Citations & Related Records

Times Cited By KSCI : 4 (Citation Analysis)

Reference
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