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一类二阶非线性摄动微分方程的振动性与渐近性
引用本文:崔文艳,李同荣.一类二阶非线性摄动微分方程的振动性与渐近性[J].滨州学院学报,2007,23(3):12-15.
作者姓名:崔文艳  李同荣
作者单位:1. 滨州学院,数学与信息科学系,山东,滨州,256603;山东大学,数学与系统科学学院,山东,济南,250100
2. 滨州学院,数学与信息科学系,山东,滨州,256603
摘    要:讨论了一类二阶非线性摄动微分方程解的振动性和渐近性,得到了该方程振动与渐近的一个充分条件,推广了现有文献的相关结论.

关 键 词:摄动微分方程  振动性  渐近性  正商
文章编号:1673-2618(2007)03-0012-04
修稿时间:2006-10-20

Oscillatory and Asymptotic Behavior for Solutions to Second Order Nonlinear Differential Equations with Perturbation
CUI Wen-yan,LI Tong-rong.Oscillatory and Asymptotic Behavior for Solutions to Second Order Nonlinear Differential Equations with Perturbation[J].Journal of Binzhou University,2007,23(3):12-15.
Authors:CUI Wen-yan  LI Tong-rong
Institution:1. Department of Mathematics and Information Science ,Binzhou University ,Binzhou 256603 ,China; 2. Department of Mathematics and Systems Science ,Shandong University , Jinan 250100 ,China
Abstract:Oscillatory and asymptotic behavior for solutions of the second order non-linear differential equation are considered in this paper.New oscillation criteria are established and the results obtained are new and extend the known results in related literature.
Keywords:differential equations with perturbation  oscillatory behavior  asymptotic behavior  positive quotient
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