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http://dx.doi.org/10.7468/jksmeb.2016.23.2.105

BOUNDEDNESS IN THE NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t-SIMILARITY  

GOO, YOON HOE (DEPARTMENT OF MATHEMATICS, HANSEO UNIVERSITY)
Publication Information
The Pure and Applied Mathematics / v.23, no.2, 2016 , pp. 105-117 More about this Journal
Abstract
This paper shows that the solutions to the nonlinear perturbed differential system $y{\prime}=f(t,y)+\int_{t_0}^{t}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$, have the bounded property by imposing conditions on the perturbed part $\int_{t_0}^{t}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, 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;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
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