二阶中立型时滞微分方程的一个新的振动准则(英文)

A New Oscillation Criterion for Second-order Neutral Delay Differential Equations

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摘要利用Riccati变换和积分平均技巧,建立了一类具有非线性中立项的二阶时滞微分方程一个新的振动准则,该结果推广并改进了一些已有的结果。 By the use of Riccati transformation and averaging technique, we establish a new oscillation criterion for a class of second-order delay differential equation with nonlinear neutral term, and the results obtained are extensions of some known results in the literature.

作者余晋昌邓立虎刘学杰

机构地区东莞理工学院计算机学院东莞理工学院学报编辑部

出处《东莞理工学院学报》 2012年第3期5-10,共6页 Journal of Dongguan University of Technology

关键词振动 RICCATI变换非线性中立项平均技巧二阶 oscillation nonlinear neutral term Riccati transformation averaging technique second -order.

分类号 O173.25 [理学—基础数学]

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1Hale J. Theory of Functional Differential Equations [ M ]. New york: Springer-Verlag, 1977.
2Dzurina J, Stavroulakis I P. Oscillation criteria for second-order delay differential equations [J]. Appl Math Comput, 2003, 140(2 -3) : 445 -453.
3Grace S R. Oscillation theorems for nonlinear differential equations of second order [ J ]. J Math Anal Appl, 1992, 171 (1) : 220 -241.
4Koplatadze R. On oscillatory properties of solutions of functional differential equations [ J ]. Memoirs Diff Eqs Math Phys, 1994 , 3:1 -180.
5Philos Ch G. A new criterion for the oscillatory and aymptotic behavior of delay differential equations [ J ]. Bulletin de I' Academie Polonaise des Science, Serie des Science Mathematiques, 1981, 39:61 -64.
6Sun Y G, Meng F W. Note on the paper J Dzurina and I P Stavroulakis[ J]. Appl Math Comput, 2006, 174 (2) : 1634 - 1641.
7Agarwal R P, Grace S R. Oscillation theorems for certain neutral functional-differential equations [ J ]. Comput Math Appl, 1999, 38 : 1 - 11.
8Han Z, Li T, Sun S, et al. Remarks on the paper [ Appl Math Comput 207 (2009) 388 -396 ] [ J]. Appl Math Comput, 2010, 215 (11 ) : 3998 - 4007.
9Grammatikopoulos M K, Ladas G, Meimaridou A. Oscillation criteria for second-order neutral delay differential equations [ J ]. Rad Math, 1985, 1(2) : 267 -274.
10Karpuz B, Manojlovic J V, Ocalan O, et al. Oscillation criteria for a class of second-order neutral delay differential equations [ J 1. Appl Math Comput, 2009, 210(2): 303-312.

1余晋昌.二阶中立型Emden-Fowler方程的区间振动准则[J].数学的实践与认识,2016,46(7):187-194.
2余晋昌,邓立虎.一类中立型Emden-Fowler方程的区间振动准则[J].东莞理工学院学报,2015,22(5):1-7.
3余晋昌.具非线性中立项的二阶时滞微分方程的振动准则(英文)[J].东莞理工学院学报,2010,17(5):5-8.
4杨启贵,朱思铭.二阶非线性中立型微分方程的振动性[J].系统科学与数学,2003,23(4):482-490. 被引量：5
5项明寅,徐志庭.一类二阶时滞微分方程解的振动性质[J].安徽师范大学学报（自然科学版）,2002,25(2):115-118.
6林文贤.一类二阶中立型微分不等式最终正解的不存在性[J].河南师范大学学报（自然科学版）,2012,40(2):31-33. 被引量：7
7吴红叶.二阶非线性脉冲微分方程的振动性[J].宜春学院学报,2007,29(4):29-31.
8余晋昌.多时滞二阶中立型方程的振动性(英文)[J].东莞理工学院学报,2009,16(5):6-12.
9杜炜.Oscillations for Second Order Nonlinear Differential Equations[J].Chinese Quarterly Journal of Mathematics,2002,17(4):87-93.
10陈文灯,俞元洪.一类边值问题的振动准则[J].Journal of Mathematical Research and Exposition,1995,15(1):29-34. 被引量：7

东莞理工学院学报

2012年第3期

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二阶中立型时滞微分方程的一个新的振动准则(英文)

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