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具有正负周期系数的差分方程的振动性与线性化振动性(英文) 被引量:3

Oscillations and Linearized Oscillations for Difference Equations with Positive and Negative Periodic Coefficients
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摘要 本文得到具有正负周期系数的差分方程振动的一个充分必要条件 ,并利用此充要条件获得了一个线性化振动性结果 . It is proved that in certain conditions, oscillation of difference equation with positive and negative periodic coefficients and existence of positive roots of its characteristic equation are equivalent. This result is also applied to obtain a linearized oscillation result.
出处 《应用数学》 CSCD 北大核心 2001年第4期26-30,共5页 Mathematica Applicata
基金 The NNSF of China(1 0 0 71 0 1 6)
关键词 正负周期系数 振动性 差分方程 线性化振动性 充要条件 Oscillations Linearized oscillations Difference equations
  • 相关文献

参考文献2

  • 1Erbe L H,Hiroshima Math J,1995年,26卷,573页
  • 2Chuanxi Q,Hiroshina Math J,1990年,20卷,331页

同被引文献26

  • 1李雪臣,王鸿燕.具周期系数时滞差分方程的全局渐近稳定性[J].扬州大学学报(自然科学版),2005,8(1):14-17. 被引量:1
  • 2刘开宇,庾建设,罗交晚.非自治线性时滞微分方程的扰动全局吸引性及一致稳定性[J].高校应用数学学报(A辑),1998,13(3):257-266. 被引量:4
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  • 5[4]Kordouis I-G E,Phiols CH G.Oscillations of neutral difference equations with periodic coefficients[J].Computers Math.Applic,1997,33:11-27.
  • 6[7]Gy(o)ri I.Interaction between oscillations and global asymptotic stability in delay differential equations[J].Differential and Integral Equations,1990,(3):181-200.
  • 7[8]Gy(o)ri I,Ladas G.Oscillation theory of delay differential equations with applications[M].Oxford:Clarendon Press,1991.
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  • 9[10]Erbe L,Zhang B G,Li J Z.On the oscillation of positive solutions of neutral difference equations[J].J Math Anal Appl,1991,158-233.
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