Oscillation criteria for second-order nonlinear difference equations with damped term

被引：8

作者：

Li, WT ^{[1
]}

Fan, XL

机构：

[1] Gansu Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1999年 / 37卷 / 06期

基金：

中国国家自然科学基金;

关键词：

damped; difference equations; oscillation; nonoscillation;

D O I：

10.1016/S0898-1221(99)00073-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several oscillation criteria are established for the second-order damped nonlinear difference equation Delta[a(n-1)(Delta y(n-1))(sigma)] + p(n-1)(Delta y(n-1))(sigma) + q(n)f(y(n)) = 0, n greater than or equal to n(0) > 0, where sigma > 0 is any quotient of odd integers, {p(n)} and {q(n)} are real sequences, and f is an element of C(R, R) such that xf(x) > 0 for x not equal 0. Several examples which dwell upon the importance of our results are also included. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：17 / 30

页数：14

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