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二阶Emden-Fowler中立型时滞微分方程振动性 被引量：3

Oscillation of Second Order Emden-Fowler Neutral Delay Differential Equations
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摘要 借助广义Riccati变换和不等式技巧,研究了二阶Emden-Fowler中立型时滞微分方程的振动性,给出了该类微分方程解区间振动的几个新准则. By generalized Riccati transformation and inequality technique,the oscillation of second order Emden-Fowler neutral delay differential equations is considered,and some new interval oscillation criteria are established.
作者 李同兴 韩振来 孙书荣
机构地区 济南大学理学院 山东大学控制科学与工程学院
出处 《吉首大学学报（自然科学版）》 CAS 2009年第1期27-29,共3页 Journal of Jishou University(Natural Sciences Edition)
基金 国家自然科学基金资助项目(60774004) 山东省自然科学基金资助项目(Y2007A27) 济南大学博士基金(B0621 XBS0843)
关键词 中立型时滞微分方程 振动性 RICCATI变换 neutral delay differential equations oscillation Riccati transformation
分类号 O175.7 [理学—基础数学]
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参考文献4

  • 1Wong J S W.On the generalized Emden-Fowler equation[].SIAM Review.1975
  • 2Abdallah,SH.Oscillatory and non-oscillatory behavior of second order neutral delay differential equations[].Applied Mathematics and Computation.2003
  • 3Yang Qigui,Yang Lijun,Zhu Siming.Interval criteria for oscillation of second order nonlinear neutral differential equtions[].Computers and Mathematics With Applications.2003
  • 4Wang Q R.Interval criteria for oscillation of second-order nonlinear differential equations[].Journal of Computational and Applied Mathematics.2007

同被引文献20

  • 1XU Zhi-ting,XIA Yong.Integral Averaging Technique and Oscillation of Certain Even Order Delay Differential Equations[J].J.Math.Anal.Appl.,2004,292:238-246.
  • 2HAN Zhen-lai,LI Tong-xing,SUN Shu-rong,et al.Remarks on the Paper[Appl.Math.Comput.207 (2009) 388-396][J].Applied Mathematics and Computation,2010,215:3 998-4 007.
  • 3SUN Yuan-gong,MENG Fan-wei.Oscillation of Second-Order Delay Differential Equations with Mixed Nonlinearities[J].Appl.Math.Comput.,2009,207(1):135-139.
  • 4PHILO CH G.A New Criteria for the Oscillatory and Asymptotic Behavior of Delay Differential Equations[J].Bull.Acad.Pol.Sci.Ser.Sci.Mat.,1981,39:61-64.
  • 5AGARWAL R P,GRACE S R.Oscillation Theorems for Certain Functional Differential Equations of Higher Order[J].Math.Comput.Modelling,2004,39:1 185-1 194.
  • 6MENG Fan-wei,XU Run.Oscillation Criteria for Certain Even Order Quasi-Linear Neutral Differential Equations with Deviating Arguments[J].Appl.Math.Comput.,2007,190:458-464.
  • 7Yang Qigui, Yang Lijun, Zhu Siming. Interval criteria for oscillation of second order nonlinear neutral differential equations J3. Corn- put Math Appl, 2003, 46 (S/6) z 903-918.
  • 8Xu Run, Meng Fanwd. Some new oscillation criteria for second order quasi-linear neutral dday differential equations EJ3. Appl Math Comput, 2006, 182 797-803.
  • 9Luhong Ye, Zhiting Xu. Oscillation criteria for second order quasilincar neutral delay differential equations FJ-l. Appl Math Comput, 2009, 207z 388-396.
  • 10Wang Interval criterm lot oslation of nonlinear e eq D-'J. Appl th Comet, 2007, 205s 231-238.

引证文献3

二级引证文献3

吉首大学学报（自然科学版）
2009年 第1期

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