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一类高阶微分方程解的渐近性质
引用本文:高正晖. 一类高阶微分方程解的渐近性质[J]. 衡阳师专学报, 2008, 0(3): 8-10
作者姓名:高正晖
作者单位:衡阳师范学院数学系,湖南衡阳421008
摘    要:研究了一类高阶微分方程y^(n)+p(t)y′+q(t)y=0解的渐近性质,获得了该类方程非振动解的渐近性的充分条件。

关 键 词:高阶线性微分方程  非振动解  渐近性质

Asymptotic Behavior of the Solutions of a Class Higher Order Linear Differential Equations
GAO Zheng-hui. Asymptotic Behavior of the Solutions of a Class Higher Order Linear Differential Equations[J]. Journal of Hengyang Normal University, 2008, 0(3): 8-10
Authors:GAO Zheng-hui
Affiliation:GAO Zheng-hui (Department of Mathematics, Hengyang Normal University, Hengyang Hunan 421008,China)
Abstract:This paper discusses the asymptotic behavior of non-oscillatory solutions of a class higher order linear differential equation
y^(n)+p(t)y′+q(t)y=0
Some sufficient condition for the asymptotic behavior of non-oscillatory solutions of the equation are obtained.
Keywords:higher order differential equation  non-oscillatory solution  asymptotic behavior
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