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一类含最大值的二阶差分方程有界解的振动性 被引量：1

Oscillation of the second order difference equations with maximum
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摘要 讨论了带有极大值项的二阶差分方程Δ(anΔ(yn+pnyn-k))-qnmax[n-l,n]rsys=0,n∈N解的振动性,得到了该方程解振动的几个新的充分条件. The oscillation of the second order difference equations with maximum△（an△（yn＋pnyn-k））-qnmaxrsys[n-l,n]=0,n∈N was studied. Sufficient conditions for the oscillation of solutions were established.
作者 李宁 钟晓珠 张文侠 于平 张莎莎
机构地区 燕山大学理学院
出处 《山东理工大学学报（自然科学版）》 CAS 2008年第4期38-40,共3页 Journal of Shandong University of Technology:Natural Science Edition
基金 河北省教育厅科学研究项目(Z2007431)
关键词 差分方程 振动性 最大值 difference equation oscillation maximum
分类号 O175 [理学—基础数学]
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参考文献4

二级参考文献14

  • 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
  • 5BAINOV D,PETROV V,PROYTCHEVA V. Existence and asymptotic behavior of nonoscillatory solutions of second order neutral differential equations with " maxtma " [J]. Journal of Computational and Applied Mathematics, 1997,83:237-249.
  • 6PETROV V. Nonoscillatory solutions of neutral differential equations with "maxima"[J]. Communications in Applied Analysis, 1998,2 : 129-142.
  • 7BAINOV D D, MISHEV D P. Oscillation Theory for Neutral Differential Equations with Delay [M]. Adam Hilger,Bristol, 1991.
  • 8BAINOV D D, PETROV V, PROYTCHEVA V. Asymptotic behaviour of second order neutral differential equations with "maxima" [J]. Tamkang J. Math., 1995, 26: 267-275.
  • 9BAINOV D D, PETROV V,PROYTCHEVA V. Oscillatory and asymptotic behavior of second order neutral differential equations with "maxima" [J]. Dynam. Systems Appl., 19957 4: 137-146.
  • 10ZHANG Bing-gen, ZHANG Guang. Qualitative properties of functional differential equations with "Maxama"[J]. Rocky Mountain J. Math., 1999, 29(1):357-367.

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山东理工大学学报（自然科学版）
2008年 第4期

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