BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS

• Journal title : The Pure and Applied Mathematics
• Volume 22, Issue 2,  2015, pp.101-112
• Publisher : Korea Society of Mathematical Education
• DOI : 10.7468/jksmeb.2015.22.2.101
Title & Authors
BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS
GOO, YOON HOE;

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 $\small{t\infty}$-similarity.
Keywords
h-stability;$\small{t\infty}$-similarity;functional differential systems;
Language
English
Cited by
1.
BOUNDEDNESS IN NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t-SIMILARITY,;

한국수학교육학회지시리즈B:순수및응용수학, 2015. vol.22. 3, pp.215-227
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