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高阶中立型微分方程的振动性准则

Oscillation Criteria for Neutral Differential Equations of Higher Order
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摘要 给出了关于n阶中立型微分方程(x(t)±p(t)x[τ(t)])(n)+q(t)x[σ(t)]=0的一些新的振动性准则,所得结果推广并改进了Budincevic,ChuanxiQ和LadasG,GopalsamyK,LalliBS和ZhangBG给出的一些结论. The author presents some new oscillatory criteria for the n-th order neutral differential equations of the form (x(t)±p(t)x[τ(t)])~ (n)+q(t)x[σ(t)]=0. The results obtained extend and improve some known criteria that were given by Budincevic, Chuanxi Q and Ladas G, Gopalsamy K, Lalli B S and Zhang B G.
作者 端木连喜
出处 《曲阜师范大学学报(自然科学版)》 CAS 2005年第3期45-49,共5页 Journal of Qufu Normal University(Natural Science)
关键词 中立型方程 时滞 振动性 neutral equation delayed oscillation
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参考文献7

  • 1Baimov D D, Misher D P. Oscillation theory for neutral differential equations with delay [M]. Adam Hilger,1991.
  • 2Budincevic M. Oscillation of second order neutral nonlinear differential equations [J]. Novi Sadn J Math,1997,27:49~56.
  • 3Kiguradze I T, Chanturia T A. Asymptotic properties of solutions of nonautonomous ordinary differential equations [M]. Nauka, Moscow,1991.
  • 4Chuanxi Q, Ladas G. Oscillations of higher order neutral differential equations with variable coefficient [J]. Math Nachr, 1991,150:15~24.
  • 5Grammatikopoulos M K, Ladas G, Meimaridou A. Oscillation and asymptotic behavior of higher order neutral equations with variable coefficient [J]. Chinese Ann Math, 1988,9B:322~338.
  • 6Gopalsamy K, Lalli B S,Zhang B G. Oscillation of odd order neutral differential equations [J]. Czechoslovak Math J, 1992,42(117):313~323.
  • 7Parhi N, Mohanty P K. Oscillation of neutral differential equations of higher order [J]. Bull Inst Math Sinica, 1996,24:139~150.

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