期刊文献+

高阶非线性中立型分布时滞微分方程解的振动性

Oscillation of Solutions of Higher Order Nonlinear Neutral Equations with Distributed Delays
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摘要 考虑高阶非线性中立型分布时滞微分方程,利用Philos方法建立了方程解的振动准则,推广和改进了文献[5]的结果. In this paper higher order nonlinear neutral equations with distributed delays are considered, some oscillation criteria of solutions for the equations are established by using Philos' method, which generalize and improve the results in the paper [5].
出处 《佳木斯大学学报(自然科学版)》 CAS 2007年第3期374-375,378,共3页 Journal of Jiamusi University:Natural Science Edition
关键词 高阶分布时滞方程 振动准则 Pholis方法 higher order equation with distributed delay Philos' method oscillation criterion
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参考文献7

  • 1G.S.Ladde,VLakshmikantham and B.G.zhang,Oscillation Theory of Differential Equations with Deviating Arguments[M].Marcel Dekker,New York,1987.
  • 2I.yori and G.Ladas,Oscillation Theory of Delay Differential Equations with Applications[M].Claredon Press Oxford,1991.
  • 3L.H.Erbe,Q.kong and B.G.zhang,Oscillation Theory for Functional Differential Equations,Marcel[M].New York,1995.
  • 4R.P.Agarwal,S.R.Grace and D.O.Regan,Oscillation Theory for Difference and Functiona Differential Equations,Kluwer Academic Publishers[M].New York,2000.
  • 5P.G.Wang and Y.H.Wu,Further Results on Differential Inequality of a Class of Second Order Neutral Type[J].Tamkang J.Math,35(2004),43-51.
  • 6Ch.G.Philos,Oscillation Theorems for Linear Differential Equations of Second Order[J].Arch.Math,53(1989),483-492.
  • 7I.T.Kiguradze,On Oscillation of Solutions of Some Ordinary Differential Equations[J].Dokl.Akad.Nauk.SSSR,144(1962),33-36.

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