Oscillation of Second Order Delay Difference Equations

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Oscillation of Second Order Delay Difference Equations

YU Wensheng¹, LIN Shizhong², YU Yuanhong³

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

Abstract: Some new oscillation criteria for the second order nonlinear delaydifference equations Delta²y_n+P_nf(y_n-k)=0 are established. Here Deltay_n=y_n+1-y_n is difference operator, k is nonnegative integers, {P_n} 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 Δ²y_n+P_nf(y_n-k)=0的一些新的振动定理。其中Δy_n=y_n+1-y_n是差分算子，k为非负整数，P_n是非负实数序列，f是R=(-∞,∞)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

CLC Number:

O175.7

YU Wensheng,LIN Shizhong,YU Yuanhong. Oscillation of Second Order Delay Difference Equations[J]. Acta Scientiarum Naturalium Universitatis Pekinensis.

郁文生,林诗仲,俞元洪 . 二阶时滞差分方程的振动性[J]. 北京大学学报（自然科学版）.

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https://xbna.pku.edu.cn/EN/Y1997/V33/I1/42

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Oscillation of Second Order Delay Difference Equations

二阶时滞差分方程的振动性

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