BOUNDEDNESS IN THE NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t-SIMILARITY

• Journal title : The Pure and Applied Mathematics
• Volume 23, Issue 2,  2016, pp.105-117
• Publisher : Korea Society of Mathematical Education
• DOI : 10.7468/jksmeb.2016.23.2.105
Title & Authors
BOUNDEDNESS IN THE NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t-SIMILARITY
GOO, YOON HOE;

Abstract
This paper shows that the solutions to the nonlinear perturbed differential system $\small{y{\prime}=f(t,y)+\int_{t_0}^{t}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))}$, have the bounded property by imposing conditions on the perturbed part $\small{\int_{t_0}^{t}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))}$, and on the fundamental matrix of the unperturbed system y′ = f(t, y) using the notion of h-stability.
Keywords
h-stability;t-similarity;bounded;nonlinear nonautonomous system;
Language
English
Cited by
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