二阶非线性微分方程的振动定理<sup>*</sup>

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二阶非线性微分方程的振动定理^*

基金项目: * 云南省教委基础研究基金资助项目

摘要: 本文对一类带阻尼项的二阶非线性微分方程给出了若干新的振动准则,它们改进和推广了文[1]～[4]的相应结果.
- 非线性微分方程 /
- 振动性 /
- 阻尼项
Abstract: In this paper, some new oscillation criteria for a second order nonlinear differential equation with dampings are established. These criteria improve and generalize the related results given in [1-4].
- oscillation /
- diflerential equation /
- nonlinearity

[1]	Belohorec,S.,Two remarks on the properties of solutions of a nonlinear differential equation,Acta.Fac.Rerum.Natur.Univ.Comenian Math.,22(1969),19-26.
[2]	Kamenev,I.V.,Certain specifically nonlinear oscillation theorems,Math.Notes,10(1971),502-505.
[3]	Kura,T.,Oscillation theorems for a second order sublinear ordinary differential equation,Proc.Amer.Math.Soc.,84(1982),535-538.
[4]	Kwong,M.K.and J.S.W.Wong,On an oscillation theorem of Belohorec,SIAM J.Math.Anal.,14(1983),474-476.