Acta Scientiarum Naturalium Universitatis Pekinensis

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Oscillation of Second Order Delay Difference Equations

YU Wensheng1, LIN Shizhong2, YU Yuanhong3   

  1. 1Department of Mechanics and Engineering Science, Peking University, Beijing, 100871; 2Department of Mathematics, Hainan Normal College, Haikou, 571158; 3Institute of Applied Mathematics, Academia Sinia, Beijing, 100080
  • Received:1995-10-27 Online:1997-01-20 Published:1997-01-20

二阶时滞差分方程的振动性

郁文生1,林诗仲2,俞元洪3   

  1. 1北京大学力学与工程科学系,北京,100871;2海南师范学院数学系,海口,571158;3中国科学院应用数学所,北京,100080

Abstract: Some new oscillation criteria for the second order nonlinear delaydifference equations Delta2yn+Pnf(yn-k)=0 are established. Here Deltayn=yn+1-yn is difference operator, k is nonnegative integers, {Pn} is a sequence of nonnegative real numbers and f is continuous on R=(-infinity,infinity).

Key words: second order nonlinear delay difference equations, difference operator, oscillation

摘要: 建立了二阶非线性差分方程 Δ2yn+Pnf(yn-k)=0的一些新的振动定理。其中Δyn=yn+1-yn是差分算子,k为非负整数,Pn是非负实数序列,fR=(-∞,∞)上的连续函数。

关键词: 二阶非线性时滞差分方程, 差分算子, 振动性

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