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具连续偏差变元的二阶阻尼微分方程的振动性 被引量:14

Oscillation for certain second-order damped differential equations with continuous deviating arguments
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摘要 获得一类具有连续偏差变元的非线性二阶阻尼泛函微分方程所有解振动的若干充分条件.所得结果包含和推广了已有文献中的相关结论,并给出2个应用实例. We obtain sufficient conditions for the oscillation of all solutions of the nonlinear second-order damped functional differential equations with continuous deviating arguments.This work generalizes and improves some known results.The main results are illustrated by two examples.
作者 林文贤
出处 《中国科学院研究生院学报》 CAS CSCD 北大核心 2012年第5期594-598,共5页 Journal of the Graduate School of the Chinese Academy of Sciences
关键词 阻尼项 中立型方程 振动性 连续偏差变元 damping terms neutral differential equation oscillation continuous deviating arguments
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参考文献5

  • 1Kong Q. Interval criteria for oscillation of second order linear equations[J]. J Math Anal Appl, 1999,229: 258-270.
  • 2Philos C G. Oscillation theorems for linear differential equations of second order[J]. Arch Math(Besel), 1989, 53: 482-492.
  • 3Li W T, Agarwal R P. Interval oscillation criteria related to integral averaging technique for certain nonlinear differential equations[J]. J Math Anal Appl, 2000, 245: 171-178.
  • 4Li W T, Agarwal R P. Interval oscillation criteria for second order nonlinear differential equations with damping[J]. Computer Math Appl, 2000, 40: 217-230.
  • 5师文英,赵新生,戴晓东.具有连续偏差变元的二阶阻尼方程的振动定理[J].河北大学学报(自然科学版),2007,27(4):340-344. 被引量:5

二级参考文献5

  • 1KONG Q.Interval criteria for oscillation of second-order linear ordinaty differenial equations[J].J Math Anal Appl,1999,229:258-270.
  • 2PHILOS CH G.Oscillation theorems for lineat differential equations of second order[J].Arch Mth(Basel),1989,53:482-492.
  • 3LI W T,AGARWAL R P.Interval oscillation criteria ralated to integral avergaging technique for certain nonlinear differential equations[J].J Math Anal Appl,2000,245:171-188.
  • 4LI W T,AGARWAL R P.Interval oscillation criteria for second order nionlinear differential equatios with damping[J].Computers Math Applic,2000,40:217-230.
  • 5WANG P,WU Y H.Oscillation of certain second-order functional differential equations with damping[J].J Comput Applied Math,2003,157:49-56.

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