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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
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We show the boundedness and uniform Lipschitz stability for the solutions to the functional perturbed differential system $$y^{\prime}=f(t,y)+{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^t}g(s,y(s),\;T_1y(s))ds+h(t,y(t),\;T_2y(t))$$, under perturbations. We impose 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.
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참고문헌 (23)
참고문헌 신청
V. M. Alekseev / 1961 / An estimate for the perturbations of the solutions of ordinary differential equations / Vestn. Mosk. Univ. Ser. I. Math. Mekh 2:28~36
F. Brauer / 1966 / Perturbations of nonlinear systems of differential equations / J. Math. Anal. Appl 14:198~206
F. Brauer / 1970 / Perturbations of nonlinear systems of differential equations, III / J. Math. Anal. Appl 31:37~48
F. Brauer / 1972 / Perturbations of nonlinear systems of differential equations, IV / J. Math. Anal. Appl 37:214~222
최상일 / 2015 / Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations / 한국수학논문집 23(1):181~197
F. Brauer / 1966 / Perturbations of nonlinear systems of differential equations / J. Math. Anal. Appl 14:198~206
F. Brauer / 1970 / Perturbations of nonlinear systems of differential equations, III / J. Math. Anal. Appl 31:37~48
F. Brauer / 1972 / Perturbations of nonlinear systems of differential equations, IV / J. Math. Anal. Appl 37:214~222
최상일 / 2015 / Lipschitz and asymptotic stability of nonlinear systems of perturbed differential equations / 한국수학논문집 23(1):181~197
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