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一类二阶非线性微分方程的振动性 被引量:1

Oscillation of Certain Second Order Nonlinear Differential Equations
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摘要 研究了二阶非线性微分方程(a(t)ψ(y(t))φ(y′(t)))′+q(t)f(y(g(t)))=0,t≥t0的振动性.所得结果推广了已有的振动性判别准则. The Oscillation of certain second order nonlinear differential equations (a(t)φ(y(t))φ(y′(t)))′+q(t)f(y(t(t)))=0,t≤t0 is considered in this paper. The obtained result extends some known oscillation criteria.
机构地区 淄博职业学院
出处 《曲阜师范大学学报(自然科学版)》 CAS 2007年第2期59-61,共3页 Journal of Qufu Normal University(Natural Science)
关键词 振动解 非线性微分方程 最终正解 oscillatory solution nonlinear differential equation eventually positive solution
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参考文献3

  • 1Li W T.Oscillation of certain second order nonlinear differential equations[J].J Math Anal Appl,1998,217(1):1-14.
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  • 3蒋方翠,曹爱民,孟凡伟.一类二阶非线性微分方程的振动性判据[J].曲阜师范大学学报(自然科学版),2006,32(1):35-40. 被引量:5

二级参考文献8

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共引文献4

同被引文献3

  • 1LI W T. Oscillation of Certain Second Order Nonlinear Differential Equations [J]. J Math Anal Appl, 1998,217 (1):1- 14.
  • 2LI H J. Oscillation Criteria for Second Order Linear Differential Equations[J]. d Math Anal Appl, 1995,194:312-321.
  • 3AGARWAL R P,SHIEH S L,YEH C C. Oscillation Criteria for Second-order Differential Equations [J]. Math Comput Modelling, 1997,26(4): 1-11.

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