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Boundedness in the nonlinear perturbed differential systems via t∞–similarity

구윤회
한국수학교육학회|2016.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제2호|pp. 105-117

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참고문헌

주제분류수학

초록

This paper shows that the solutions to the nonlinear perturbed differential system y'=f(t,y)+\int_{t_0}^tg(s,y(s),T_{1}y(s))ds+h(t,y(t),T_{2}y(t)), have the bounded property by imposing conditions on the perturbed part $\int_{t_0}^tg(s,y(s),T_{1}y(s))ds$, $h(t,y(t),T_{2}y(t))$, and on the fundamental matrix of the unperturbed system y'=f(t,y) using the notion of h-stability.

Abstract

This paper shows that the solutions to the nonlinear perturbed differential system y'=f(t,y)+\int_{t_0}^tg(s,y(s),T_{1}y(s))ds+h(t,y(t),T_{2}y(t)), have the bounded property by imposing conditions on the perturbed part $\int_{t_0}^tg(s,y(s),T_{1}y(s))ds$, $h(t,y(t),T_{2}y(t))$, and on the fundamental matrix of the unperturbed system y'=f(t,y) using the notion of h-stability.

참고문헌 (17)

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관련 논문AI추천

Boundedness in nonlinear perturbed differential systems via $t_{\infty}$-similarity구윤회, 임동만강원경기수학회 · 한국수학논문집2016 · 제24권 제4호Boundedness in Perturbed functional differential systems via $t_{\infty}$-similarity구윤회, 최상일강원경기수학회 · 한국수학논문집2015 · 제23권 제2호h¡STABILITY OF NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS VIA t1-SIMILARITY구윤회, 양승범한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제2호BOUNDEDNESS IN NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t∞-SIMILARITY구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제3호BOUNDEDNESS IN THE FUNCTIONAL NONLINEAR PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호h-STABILITY AND BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS구윤회한국수학교육학회 · 이론수학과 교직수학2015 · 제22권 제2호

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