| 一类二阶非线性微分方程解的全局二分行为 |
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| 引用本文： | 吴雁,宋雪梅.一类二阶非线性微分方程解的全局二分行为[J].应用数学学报,2004,27(2):291-299. |
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| 作者姓名： | 吴雁 宋雪梅 |
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| 作者单位： | 1. 烟台大学数学与信息科学系,烟台,264005
2. 兰州师专数学系,兰州,730070 |
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| 摘 要： | 本文讨论非周期二阶非线性微分方程：x“=f(t，x，x‘)解的全局二分行为，所得结果较好地改进和推广了关于周期方程的相应工作．
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| 关 键 词： | 二阶非线性微分方程 初值问题 全局二分行为 周期方程 |
GLOBAL DICHOTOMY BEHAVIOR OF SOLUTIONS OF CLASS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS |
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| WU YAN.GLOBAL DICHOTOMY BEHAVIOR OF SOLUTIONS OF CLASS OF SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2004,27(2):291-299. |
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| Authors: | WU YAN |
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| Institution: | WU YAN Department of Mathematics and Informational Science,Yantai Unversity,Yantai 264005 SONG XUEMEI Department of Mathematics,Lanzhou Teachers University,Lanzhou 730070 |
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| Abstract: | This paper is concerned with the global.dichotomy behavior of the non-periodic
second-order differential equation: x" = f(t, x, x'). Our results improve and generalize the
corresponding ones on periodic equations. |
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| Keywords: | Non-periodic the second-order differential equation global dichotomy behavior |
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