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三阶中立型时滞差分方程的振动性和渐近性 被引量:1

The Oscillation and Asymptotic Behavior for the Cubic- order Neutral Delay Difference Equations
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摘要 研究了一类三阶中立型时滞差分方程△3(a(n)x(n)-b(n)x(n-τ))+∑mj=1qj(n)fj(x(n-σj)=0的振动性,得到了该方程振动的充分条件及其有界的非振动解趋于零的判据. In this paper ,we give a sufficient condition of oscillation and a criteria of converging to zero of bounded nonoscillation solutions for a class of nonlinear cubic-order neutral difference equation △'(α(n)x(n)-b(n)x(n-τ))+Σmj=1qj(n)fj(x(n-σj))=0.
出处 《邵阳学院学报(自然科学版)》 2009年第1期8-11,共4页 Journal of Shaoyang University:Natural Science Edition
基金 湖南省教育厅资助科研项目(名称:时滞微分差分方程的振动理论与渐近理论及其应用 No:07C680)
关键词 中立型差分方程 时滞 有界解 振动性 渐近性 neutral difference equation delay bounded solution oscillation asymptotic behavior
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共引文献47

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  • 1杨甲山.一类变系数多时滞差分方程解的振动性[J].中南民族大学学报(自然科学版),2004,23(4):91-93. 被引量:1
  • 2董文雷.具正负系数的多滞量中立型差分方程的振动性[J].河北师范大学学报(自然科学版),2006,30(2):136-139. 被引量:11
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  • 7Tang X H,Xiao Yanlin. Necessary and sufficient conditions for nonoscillatory solutions of first-order nonlinear neutral difference equations[J].Computers and Mathematics with Applications,2007.1-14.
  • 8李宁,钟晓珠,张文侠,于平,张莎莎.一类带有强迫项的差分方程的振动性[J].五邑大学学报(自然科学版),2008,22(3):26-30. 被引量:1
  • 9杨甲山,李继猛.具连续变量的高阶非线性变时滞差分方程的振动性[J].中央民族大学学报(自然科学版),2011,20(1):31-36. 被引量:7

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