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一类偶阶中立型泛函微分方程的振动性 被引量:3

Oscillation for Certain Even Order Neutral Functional Differential Equations
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摘要 给出了具有分布时滞的偶数阶中立型泛函微分方程一切解振动的若干充分条件,推广和改进了最近文献的结果. Several oscillatory criteria for even order neutral functional differential equations with distributed delays are proposed,which generalize and improve some known results.
作者 林文贤
出处 《宁夏大学学报(自然科学版)》 CAS 2016年第2期131-134,共4页 Journal of Ningxia University(Natural Science Edition)
基金 广东省高等教育教学改革项目(GDJG20142396) 广东省高等学校特色创新项目(2014GXJK125)
关键词 振动性 偶阶 中立型 泛函微分方程 oscillation even order neutral functional differential equation
  • 相关文献

参考文献8

  • 1HALE J K.Theory of functional differential equations[M].New York:Springer,1977.
  • 2林文贤,俞元洪.高阶中立型时滞微分方程的振动准则[J].应用数学学报,2014,37(6):1018-1024. 被引量:19
  • 3MENG Fanwei,XU Run.Kamenev-type oscillation criteria for even order neutral differential equations with deviating arguments[J].Appl Math Comput,2007,190(2):1402-1408.
  • 4WANGPEIGUANG,FUXILINAND,YUYUANHONG.OSCILLATIONS OF SOLUTION FOR A CLASS OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATION[J].Applied Mathematics(A Journal of Chinese Universities),1998,13(4):397-402. 被引量:14
  • 5林文贤.一类三阶中立型阻尼方程的Philos型振动定理[J].宁夏大学学报(自然科学版),2014,35(2):109-112. 被引量:9
  • 6LIN Wenxian.Oscillation theorems for certain higher order neutral equations with continuous distributed deviating arguments[J].Southeast Asian Bulletin of Mathematics,2012,34(4):849-854.
  • 7AGARWAL R P,GRACE S R,REGAN D O.Oscillation theory for differential equations[M].Dordrecht:Kluwer Academic,2000.
  • 8PHILOS Ch G.A new criterion for the oscillation and asymptotic behavior of delay differential equations[J].Bull Acad Pol Sci Ser Sci Mat,1981,39:61-64.

二级参考文献13

  • 1WANGPEIGUANG,FUXILINAND,YUYUANHONG.OSCILLATIONS OF SOLUTION FOR A CLASS OF HIGHER-ORDER NEUTRAL DIFFERENTIAL EQUATION[J].Applied Mathematics(A Journal of Chinese Universities),1998,13(4):397-402. 被引量:14
  • 2ERBE L H, KONG Q,ZHANG B G. Oscillation theo- ry for difference and functional differential equations [M]. New York: Marcel Dekker, 1995.
  • 3AGARWAL -- R P, GRACE S R, O' REGAN D. Os- cillation theory for second order dynamic equations [M]. London: Taylor & Francis, 2003.
  • 4DZURINA J. Asymptotic properties of the third order delay differential equations[J]. Nonlinear Anal:TMA, 1996,26 (1) :33-39.
  • 5AKTAS M F ,TIRYAKI A, ZAFER A. Oscillation criteria for third-order nonlinear functional differential equations[J]. Appl Math Letters, 2010, 23 (7): 756-762.
  • 6GRACE S R, AGARWAL R P, AKTAS M F. On the oscillation of third order functional differential equations [J]. Indian J Pure Appl Math, 2008, 39(6) :491-508.
  • 7PARHI N, PADHI S. Asymptotic behavior of solu- tions of third order delay differential equations[J]. In-dian J Pure Appl Math, 2002, 33(10) :1609-1620.
  • 8LIN Wenxian. Oscillation theorems for certain higher order neutral equations with continuous distributed de- viating arguments [J]. Southeast Asian Bulletin of Mathematics, 2012,34(4) : 849-854.
  • 9ERBE L. Oscillation criteria for second order nonlinear de-lay equations[J]. Canad Math Bull, 1973,16(1) : 49-56.
  • 10KIGURADZE I T. On the oscillation of solutions of the equation d^mu/dt^m+a(5)|u|^msign u = 0 [J]. Math Sb, 1964, 65(2):172-187.

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