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带有最大值项的高阶中立型差分方程的振动性 被引量：4

Oscillatory Behavior of Higher Order Neutral Difference Equations with Maxima
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摘要 对一类带有最大值项的高阶中立型差分方程的振动性进行了研究,得到一些方程振动的充分条件,推广和改进了已有的一些结果. We study the oscillatory behavior of higher order neutral difference equations with maxima. We obtain some sufficient conditions for all solutions to be oscillatory. Our results include and improve some known results of Luo, Liu and Yu [1].
作者 周效良 高学亮
机构地区 四川大学数学学院
出处 《数学的实践与认识》 CSCD 北大核心 2008年第11期173-177,共5页 Mathematics in Practice and Theory
基金 广东海洋大学科研基金(0512147)
关键词 中立型差分方程 振动性 最大值项 neutral difference equation oscillatory behavior maxima
分类号 O175.7 [理学—基础数学] O171 [理学—基础数学]
  • 相关文献

参考文献8

  • 1罗交晚,刘正荣,俞元洪.带有极大值项的中立型差分方程的振动性和非振动性[J].应用数学学报,2002,25(3):385-391. 被引量：17
  • 2Zhang Guang, Cheng S S. Asymptotic dichotomy for nonoscillatory solutions of a nonlinear difference equation[J], Applications Mathematicae, 1999,25(4):393-399.
  • 3Thandamani E, Liu Zhao-shuang. Li Qiao-luan. Asmptotic behavior of second order neutral difference equations with maxima[J]. J Math Research and Exposition,2006.2: 191-198.
  • 4Bainov D, Petrov V, Proytcheva V. Existence and asymptotic behavior of nonoscillatory solutions of second order neutral differential equations with"maxma"[J]. J Comput Appl Math, 1997,83:237-240.
  • 5Petrov V. Nonoscillatory solutions of neutral differential equations with "maxima"[J]. Communications in Applied Analysis. 1998.2: 129-142.
  • 6Agarwal R P. Difference Equations and Inequalities[M]. Marcel Dekker, New York,1992.
  • 7Ladas G, Qian C. Comparison results and linearized oscillations for higher order difference equations[J]. Internat J Math Math Sci,1992,15:129-142.
  • 8Erbe L H, Zhang B G. Oscillation of discrete analogue of delay equations[J]. Differential Integral Equations, 1989, 2:300-309.

二级参考文献4

  • 1[1]Bainov D, Petrov V, Proytcheva V. Oscillatory and Asymptotic Behavior of Second Order Neutral Differential Equations with "Maxima". Dynamic Systems and Applications, 1995, 4:137-146
  • 2[2]Bainov D, Petrov V, Proytcheva V. Existence and Asymptotic Behavior of Nonoscillatory Solutions of Second Order Neutreal Differential Equations with "Maxima". Journal of Computational and Applied Mathematics, 1997, 83:237-249
  • 3[3]Bainov D, Petrov V, Proytcheva V. Oscillation and Nonoscillation of First Order Neutral Differential Equations with "Maxima". SUT Journal of Mathematics, 1995, 31:17-28
  • 4[4]Petrov V. Nonoscillatory Solutions of Neutral Differential Equations with "Maxima". Communications in Applied Analysis, 1998, 2:129-142

共引文献16

同被引文献34

引证文献4

二级引证文献12

数学的实践与认识
2008年 第11期

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