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一类二阶非线性微分方程解的全局二分行为
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
作者姓名:吴雁  宋雪梅
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
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.

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
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
Authors:WU YAN
Affiliation:WU YAN Department of Mathematics and Informational Science,Yantai Unversity,Yantai 264005 SONG XUEMEI Department of Mathematics,Lanzhou Teachers University,Lanzhou 730070
Abstract:This paper is concerned with the global.dichotomy behavior of the non-periodicsecond-order differential equation: x" = f(t, x, x'). Our results improve and generalize thecorresponding ones on periodic equations.
Keywords:Non-periodic the second-order differential equation global dichotomy behavior
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