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一类二阶非线性微分方程的振动定理(英文)

Oscillation Theorems of Second Order Nonlinear Differential Equations
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摘要 讨论了一类二阶非线性微分方程 .利用一般的Riccati变换和完全平方技术 ,得到了方程新的振动准则 . The authors discuss a class of second order nonlinear differential equations.By using the generalized Riccati transformation and the integral averaging technique,new osciallation criteria are obtained for all solutions of the equations to be oscilltory.Our results generalized and extend some known oscillation criteria in the literature.
出处 《河北大学学报(自然科学版)》 CAS 2002年第2期114-117,共4页 Journal of Hebei University(Natural Science Edition)
基金 TheprojectissupportedbyNaturalScienceFoundationofHeibeiProvince(198710 0 5 )
关键词 二阶非线性微分方程 阻尼项 振动性 second order nonlinear differential equations damping term oscillation.
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参考文献7

  • 1El - SHEIKH M M A. Oscillation andnon - os, cillation criteria for second order non - linear differential equations[ J ]. JMath Anal Appl, 1993,179:14 - 27.
  • 2PHILOS GH G. Oscillation theorems for linear differential equations of secondorder[ J ]. Arch Math (Basel), 1989,53:438 - 492.
  • 3YAN J. Oscillation theorems for second order linear differential equation withdamping[J ]. Proc Am Math Soc, 1988,98:276 -282.
  • 4C- C YEH. An oscillation criterion for second order non- linear differentialequations with functional argument[J]. J Math Anal Appl, 1980,76: 72 - 76.
  • 5ELABBASY E M,ELSHARABASY M A. Oscillation properties for second order nonlineardifferential equations[ J ]. Kyungpook Math J, 1997,37:211 - 220.
  • 6LI H J. Cscillation criteria for second order linear differential equations[J] .JMath Anal Appl 1995,194:217 - 234.
  • 7KIRANE M, ROGOVCHENKO Y V. On oscillation of nonlinear second order differentialequations with damping tem[ J ]. Appl Math Comput,2001,117:177 - 192.

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