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

机构地区韩山师范学院数学与统计学院

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

分类号 O175.25 [理学—数学]

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参考文献8

1HALE J K.Theory of functional differential equations[M].New York:Springer,1977. 被引量：1
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. 被引量：1
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. 被引量：1
7AGARWAL R P,GRACE S R,REGAN D O.Oscillation theory for differential equations[M].Dordrecht:Kluwer Academic,2000. 被引量：1
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. 被引量：1

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. 被引量：1
3AGARWAL -- R P, GRACE S R, O' REGAN D. Os- cillation theory for second order dynamic equations [M]. London: Taylor & Francis, 2003. 被引量：1
4DZURINA J. Asymptotic properties of the third order delay differential equations[J]. Nonlinear Anal:TMA, 1996,26 (1) :33-39. 被引量：1
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. 被引量：1
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. 被引量：1
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. 被引量：1
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. 被引量：1
9ERBE L. Oscillation criteria for second order nonlinear de-lay equations[J]. Canad Math Bull, 1973,16(1) : 49-56. 被引量：1
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. 被引量：1