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一类二阶非线性微分方程的振动性 被引量：2

Oscillation Criteria for Second Order Nonlinear Differential Equations
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摘要 利用函数类、算子方法和广义Riccati变换研究了二阶非线性微分方程(r(t)y'(t))'+Q(t,y(t),y'(t))=0,t≥t0的振动性,给出了Kamenev型振动准则,改进和推广了现有的若干结论. This paper mainly studies the oscillation of second order nonlinear differential equation 0（r（t）y′（t））′＋Q（t,y（t）,y′（t））=0,t≥tby applying the function class, operator method and generalized Riccati transformation, we gives Kamenev-type oscillation criteria. The obtained results extend and improve the existing results.
作者 胡迎春
机构地区 济宁学院初等教育学院
出处 《济宁学院学报》 2014年第3期66-68,71,共4页 Journal of Jining University
关键词 非线性微分方程 振动性 Kamenev型振动准则 算子方法 nonlinear differential equations oscillation Kamenev-type oscillation criteria operator method
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献10

  • 1R P Agarwal, Q R Wang.Oscillation and asymptoticbehavior for second-order nonlinear perturbeddifferential equations[J]. Math. Comput. Modell.,2004,39: 1477-1490.
  • 2Yuzhen Bai, Fushan Li.Oscillation criteria for secondorder nonlinear perturbed differential equations[J]. J. of Math. (China), 2000, 20: 365-370.
  • 3S R Grace,B S Lalli Oscillation theorem for certainsecond order perturbed nonlinear differentialequations [J]. J. Math. Anal. Appl., 1980,77: 205-214.
  • 4W T Li.Oscillation of certain second-order nonlineardifferential equations [J]. J. Math. Anal. Appl.,1998, 217: 1-14.
  • 5Yu V Rogovchenko.Oscillation theorems for secondorder equations with damping[J]. No- nlinear Anal.,2000, 41: 1005-1028.
  • 6Yu V Rogovchenko, F Tuncay. Oscillation criteria forsecond order nonlinear differential equations withdamping [J]. Nonlinear Anal., 2008, 69; 208-221.
  • 7Y G Sun. New Kamenev-type oscillation criteria forsecond-order nonlinear differential equations withdamping [J]. J. Math. Anal. Appl., 2004,291: 341-351.
  • 8J Yan. Oscillation theorems for second order lineardifferential equations with damping [J]. Proc. Amer.Math. Soc., 1986, 98: 276-282.
  • 9Q R Wang. Interval criteria for certain second ordernonlinear differential equations [J]. Dynam. Cont.Discrete ImpulsivSyst. Series A: Math. Anal., 2005,12: 769-781.
  • 10Qi Long, Qiru Wang.New oscillation criteria ofsecond order nonlinear differential equations [J].Appl. Math. Comput., 2009, 212: 357-365.

同被引文献13

  • 1仉志余,王晓霞,林诗仲,俞元洪.非线性二阶中立型时滞微分方程的振动和非振动准则[J].系统科学与数学,2006,26(3):325-334. 被引量：24
  • 2何宏庆,仉志余.二阶非线性中立型时滞微分方程的振动准则[J].数学的实践与认识,2007,37(23):130-134. 被引量：6
  • 3Grammatikopoulos M K,Ladas G,Meimatidou A.Oscillation of Second Order Neutral Delay Differential Equation[J].Rad Mat,1985(1):267-274.
  • 4Han Z,Li T,Sun S,et al.Oscillation Criterial for Second Order Nonlinear Neutral Delay Differential Equations[J].Adv Difference Equ,2010,2010:1-23.
  • 5Baculikova.Oscillation Criteria for Second Order Nonlinear Differential Equations[J].Arch Math,2006,42:141-149.
  • 6Baculikova J.Dzurina,Oscillation Theorems for Second Order Nonlinear Neutral Differential Equations[J].Applied Mathematical Modelling,2011,62:4472-4478.
  • 7Liu L H,Bai Z.New Oscillation Criteria for Second Order Nonlinear Delay Differential Equtions[J].J Comput Appl Math,2009,231:657-663.
  • 8Xu R,Xia Y.A Note on the Oscillation of Second Order Nonlinear Neutral Functional Differential Equations[J].Int J Contemp Math Comput Sci,2008(3):1441-1450.
  • 9Sahine Y.On Oscillation of Second Order Neutral Type Delay Differential Equations[J].Appl Math Comput,2007,150:697-706.
  • 10Dzurina J,Hudakova D.Oscillation Criteria for Second Order Delay Differential Equations[J].Math Bohem,2006,134:31-38.

引证文献2

二级引证文献2

济宁学院学报
2014年 第3期

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