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二阶非线性中立型时滞微分方程的振动定理

Oscillation Criteria for Second Order Nonlinear Delay Differentia l Equation of Neutral Type
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摘要 研究了一类二阶非线性中立型时滞微分方程的振动性 ,通过引入参数函数H(t,s)k(S)并借助于广义Riccati变换得到该方程的几个新的振动准则 ,这些结果推广和改进了GaiMingjiu等的结果 . The oscillation criteria of a class of sec ond order nonlinear delay differential equation of neutral type has been discussed .By inducting parameter function and using Riccati transformation,some new resul ts for the equation are obtained,these results improve oscillation criter ia of Gao Mingjiu.
出处 《河北建筑工程学院学报》 CAS 2004年第2期126-129,共4页 Journal of Hebei Institute of Architecture and Civil Engineering
关键词 中立型时滞微分方程 振动定理 RICCATI变换 振动准则 振动性 函数 广义 二阶非线性 delay differential equation neutral type Riccati tr ansformation oscillation
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参考文献5

  • 1[1]GRACE S R. Oscillation theorems for nonlinear differential equations of second order. J Math Anal Appl, 1992,171:220 ~ 241
  • 2[2]HORNG Jann Li. Oscillation criteral for second order linear differential equations. J Math Anal Appl, 1995, 194:217 ~234
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二级参考文献5

  • 1Erbe,L.,Oscillation criteria for second order nonlineardelay equations,Canad.Math.Bull.,1973,16:49-56.
  • 2Grace,S.R.,Oscillation theorems for nonlinear differential equations of secondorder,J.Math.Anal.Appl.,1992,171:220-241.
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  • 5Rogovchenko,Y.V.,Oscillation criteria for certain nonlinear differentialequations,J.Math.Anal.Appl.,1999,229:399-416.

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