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ISSN : 1226-0657

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Vol.22 No.2

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BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR 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
2015, v.22 no.2, pp.101-112
https://doi.org/10.7468/jksmeb.2015.22.2.101
GOO, YOON HOE
GOO,, Y. H. (2015). BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(2), 101-112, https://doi.org/10.7468/jksmeb.2015.22.2.101

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 this paper, we investigate bounds for solutions of the functional nonlinear perturbed differential systems using the two notion of h-stability and <TEX>$t\infty$</TEX>-similarity.

keywords
h-stability, <tex> $t\infty$</tex>-similarity, functional differential systems

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