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一类二阶微分方程解的振动性质 被引量:5

On Oscillation of Certain Second Order Differential Equations
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摘要 利用积分平均技巧研究二阶微分方程(r(t)(x(t) )x′(t) )′+ q(t) f(x(t) ) g(x′(t) ) =0 .解的振动性质 ,得到了一些保证此方程所有解振动的充分条件 .特别 ,本文的结果改进了文 [1 ]的主要结果 . Some oscillation criteria are given for certain second order differential equations by using an integral averaging technique. These Theorems improve the main results in .
出处 《应用数学》 CSCD 北大核心 2001年第S1期212-216,共5页 Mathematica Applicata
关键词 振动 二阶微分方程 积分平均技巧 Oscillation second order differential equations Integral averaging technique
  • 相关文献

参考文献1

  • 1I. V. Kamenev. An integral criterion for oscillation of linear differential equations of second order[J] 1978,Mathematical Notes of the Academy of Sciences of the USSR(2):136~138

同被引文献18

  • 1俞元洪.带有阻尼项的二阶非线性微分方程的振动准则[J].应用数学学报,1993,16(4):433-441. 被引量:10
  • 2邵孝湟,陈文灯,俞元洪.非线性二阶微分方程的振动准则[J].Journal of Mathematical Research and Exposition,1995,15(4):605-610. 被引量:7
  • 3Yuri V.Rogovchenko,Oscillation results for a second order damped differential equation with nonmontonous nonlinearity[J].J.Math.Anal.Appl,2000,250:118-138.
  • 4Mokhtar Kirane and Yuri V.Rogovchenko,On oscillation of nonlinear second order differential equation with damping term[J].Appl.Math.Compu,2001,117:177-192.
  • 5Yuri V.Rogovchenko,Oscillation theorems for second order equations with damping[J],Nonlinear Analysis,2000,41:1005-1028.
  • 6Yu.V.Rogovchenko,oscillation criteria for certain nonlinear differential equations[J].J.Math.Anal.Appl,1999,229:399-416.
  • 7P.Hartman.On nonoscillatory linear differential equations of second order[J].Amer.J.Math,1952,74:389-400.
  • 8Kamenev IV.An intergral criterion for oscillation of linear differential equations[J].Mat.Zametki,1978,23:249-251.
  • 9Li HJ.Oscillation criteria forsecond order linear differential equations[J].J.Math.Anal.Appl.1995,194:217-234.
  • 10Yu.V.Rogovchenko.Note on "oscillation criteria for second order linear differential equations"[J].J.Math.Anal.Appl.1996,203:560-563.

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