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http://dx.doi.org/10.7468/jksmeb.2013.20.3.223

BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS  

Goo, Yoon Hoe (Department of Mathematics, Hanseo University)
Publication Information
The Pure and Applied Mathematics / v.20, no.3, 2013 , pp. 223-232 More about this Journal
Abstract
Alexseev's formula generalizes the variation of constants formula and permits the study of a nonlinear perturbation of a system with certain stability properties. In recent years M. Pinto introduced the notion of $h$-stability. S.K. Choi et al. investigated $h$-stability for the nonlinear differential systems using the notion of $t_{\infty}$-similarity. Applying these two notions, we study bounds for solutions of the perturbed differential systems.
Keywords
h-system; h-stability; $t_{\infty}$-similarity;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
연도 인용수 순위
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