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一类n阶微分方程的振动性判别准则 被引量:2

Oscillation Criteria for nth Order Differential Equations
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摘要 给出了判断一类n阶微分方程振动性的充分条件. Some new sufficient conditions are established for the oscillation of nth order neutral nonlinear differential equation with Oscillating Coefficients.
作者 徐润 孟凡伟
出处 《数学的实践与认识》 CSCD 北大核心 2009年第17期165-169,共5页 Mathematics in Practice and Theory
基金 国家自然科学基金(10771118) 山东省教育厅科技计划项目(J07YH05)
关键词 N阶微分方程 振动性判别准则 变号系数 中立型 oscillation criteria nth order differential equation oscillating coefficients neutral
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参考文献5

  • 1Grace S R, Lalli B S. Oscillation theorems for nth order delay differential equations[J]. J Math Anal Appl,1983, 91:352-366.
  • 2Ravi P Agarwal, Grace S R, O'Regan D. Oscillation criteria for certain nth order delay differential equations with Deviating arguments[J]. J Math Anal Appl,2001,262:601-622.
  • 3Zhuang R K, Li W T, Interval oscillation criteria for second order neutral nonlinear differential equations[J]. Appl Math Comput,2004,157:39-51.
  • 4Xu R, Meng F. New kamenev-type oscillation criteria for second order neutral differential equations[J]. Appl Math Comput, 2007,188 : 1364-1370.
  • 5Ch G Philos. 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.

同被引文献28

  • 1黄木根,冯伟贞.带强迫项的二阶脉冲时滞微分方程的振动性[J].黑龙江大学自然科学学报,2006,23(4):452-456. 被引量:4
  • 2何小亚.二阶脉冲时滞微分方程的振动性[J].数学理论与应用,2006,26(4):13-16. 被引量:2
  • 3TEUFEL H J R.Forced second order nonlinear oscillation[J].J Math Anal Appl,1972,40:148-152.
  • 4CHEN Yong-shao,FENG Wei-zhen.Oscillations of second order nonlinear ODE with impulses[J].J Math Anal Appl,1997,210:150-169.
  • 5Ruan S. Oscillation of second order neutral delay differential equations[J].Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques,1993.485-496.
  • 6Grammatikopoulos M K,Ladas G,Meimaridou A. Oscillation of second order neutral delay differential equations[J].Rat Mat,1985,(01):267-274.
  • 7Dong J. Oscillation behavior of second order nonlinear neutral differential equations with deviating arguments[J].Computers and Mathematics with Applications,2010.3710-3717.
  • 8Ye L,Xu Z. Oscillation criteria for second order quasilinear neutral delay differential equations[J].Applied Mathematics and Computation,2009.388-396.
  • 9Xu R,Meng F. Some new oscillation criteria for second order quasi-linear neutral delay differential equations[J].Applied Mathematics and Computation,2006.797-803.
  • 10Sun Y G,Meng F W. Note on the paper of Dzurina and Stavroulakis[J].Applied Mathematics and Computation,2006.1634-1641.

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