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一类二阶微分方程解的振动性与渐近性
引用本文:罗卫华,吕晓亚.一类二阶微分方程解的振动性与渐近性[J].内江师范学院学报,2007,22(4):28-30.
作者姓名:罗卫华  吕晓亚
作者单位:内江师范学院,数学系,四川,内江,641112
摘    要:在研究一类二阶微分方程解的振动与渐近时,增加一个条件,即新方程中新出现项的系数函数与自变量同号,并且一阶连续可导,从而构成了新方程解振动与渐近的一个充分条件.

关 键 词:二阶微分方程  振动性  渐近性  正商
文章编号:1671-1785(2007)04-0028-03
修稿时间:2006-10-23

Oscillatory and Asymptotic Behavior of Solutions of a Kind of Second Differential Equations
LUO Wei-hua,L Xiao-ya.Oscillatory and Asymptotic Behavior of Solutions of a Kind of Second Differential Equations[J].Journal of Neijiang Teachers College,2007,22(4):28-30.
Authors:LUO Wei-hua  L Xiao-ya
Institution:Department of Mathematics, Neijiang Teachers College, Neijiang, Sichuan 641112,China
Abstract:In the studying of the oscillatory and asymptotic behavior of solutions about a kind of second order differential equation,a new condition ,namely that the new emerged coefficient function is one-order continuously derivable and has the same sign with its factor,is added to the known sufficient condition so that a new sufficient condition is obtained.
Keywords:the second differential equations  oscillatory behavior  asymptotic behavior  positive quotient
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