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ISSN : 1226-0657

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Vol.20 No.3
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BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2013, v.20 no.3, pp.223-232
https://doi.org/10.7468/jksmeb.2013.20.3.223
Goo, Yoon Hoe
Goo,, Y. H. (2013). BOUNDEDNESS IN THE PERTURBED DIFFERENTIAL SYSTEMS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 20(3), 223-232, https://doi.org/10.7468/jksmeb.2013.20.3.223
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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 <TEX>$h$</TEX>-stability. S.K. Choi et al. investigated <TEX>$h$</TEX>-stability for the nonlinear differential systems using the notion of <TEX>$t_{\infty}$</TEX>-similarity. Applying these two notions, we study bounds for solutions of the perturbed differential systems.

keywords
h-system, h-stability, <tex> $t_{\infty}$</tex>-similarity

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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