| 具有可变时滞的非线性非自治差分方程的振动性及其应用 |
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| 引用本文： | 杨逢建,雷友发.具有可变时滞的非线性非自治差分方程的振动性及其应用[J].系统科学与数学,2004,24(3):346-353. |
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| 作者姓名： | 杨逢建 雷友发 |
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| 作者单位： | 仲恺农业技术学院基础部,广州,510225 |
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| 基金项目： | 广东省教育厅自然科学研究基金(Z03052)资助课题 |
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| 摘 要： | 本文获得了一类具有可变时滞的非线性非自治差分方程的振动准则,建立了这类差分方程的几个线性化振动性定理,并得到了具有可变时滞的离散型非自治广义Logistic方程关于其正平衡点振动的一系列充分条件.
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| 关 键 词： | 非线性非自治差分方程 Logistic方程 可变时滞 振动性 |
| 修稿时间： | 2002年4月22日 |
GLOBAL ASYMPTOTIC STABILITY AND OSCILLATION OF NONLINEAR NONAUTONOMOUSDIFFERENCE EQUATIONS WITH VARIABLE DELAYS |
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| Feng Jian YANG,You Fa LEI.GLOBAL ASYMPTOTIC STABILITY AND OSCILLATION OF NONLINEAR NONAUTONOMOUSDIFFERENCE EQUATIONS WITH VARIABLE DELAYS[J].Journal of Systems Science and Mathematical Sciences,2004,24(3):346-353. |
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| Authors: | Feng Jian YANG You Fa LEI |
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| Institution: | Department of Mathematics,Zhongkai Agrotechnical College, Guangzhou 510225 |
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| Abstract: | Some oscillation criteria for a class of nonlinear nonautonomous difference equations with variable delay are obtained. Some linearized oscillation theorems for these equations are established. These results are applied to the discrete extended nonautonomous Logistic equation with variable delays, and some sufficient conditions for the oscillation of this equation are obtained. |
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| Keywords: | Nonlinear nonautonomous difference equation Logistic equation variable delay oscillation |
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