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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 105 - 117 (13page)
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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.
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참고문헌 (17)
참고문헌 신청
V.M. Alekseev / 1961 / An estimate for the perturbations of the solutions of ordinary di®erential equations / Vestn. Mosk. Univ. Ser. I. Math. Mekh 2:28~36
F. Brauer / 1966 / Perturbations of nonlinear systems of di®erential equations / J. Math. Anal. Appl 14:198~206
최상일 / 2015 / BOUNDEDNESS IN PERTURBED NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS / 충청수학회지 28(2):217~228
최상일 / 2014 / Lipschitz and asymptotic stability for nonlinear perturbed differential systems / 충청수학회지 27(4):591~602
S.K. Choi / 1993 / h¡stability in di®erential systems / Bull. Inst. Math. Acad. Sinica 21:245~262
F. Brauer / 1966 / Perturbations of nonlinear systems of di®erential equations / J. Math. Anal. Appl 14:198~206
최상일 / 2015 / BOUNDEDNESS IN PERTURBED NONLINEAR FUNCTIONAL DIFFERENTIAL SYSTEMS / 충청수학회지 28(2):217~228
최상일 / 2014 / Lipschitz and asymptotic stability for nonlinear perturbed differential systems / 충청수학회지 27(4):591~602
S.K. Choi / 1993 / h¡stability in di®erential systems / Bull. Inst. Math. Acad. Sinica 21:245~262
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