Oscillation of solutions of neutral difference equations with a nonlinear neutral term

被引：3

作者：

Lin, Xiaoyan ^{[1
]}

机构：

[1] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China

[2] Cent S Univ, Sch Math & Comp Technol, Changsha 410083, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

neutral difference equation; sublinear neutral term; superlinear neutral term; oscillation; nonoscillation;

D O I：

10.1016/j.camwa.2006.02.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The oscillatory behavior of solutions of the neutral difference equations with nonlinear neutral term, Delta(x(n)-p(n)x(n)(alpha)-tau) + q(n)x(n-sigma)(beta) = 0, n >= n(0), is studied in the case when a not equal 1. A necessary and sufficient oscillatory conditions for the case 0 < alpha < 1 and an almost "sharp" oscillatory and nonoscillatory criteria for the case alpha > 1 are obtained. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：439 / 448

页数：10

共 6 条

[1]

[Anonymous], 2001, TAMKANG J MATH

[2] OSCILLATION IN NEUTRAL DELAY DIFFERENCE-EQUATIONS WITH VARIABLE-COEFFICIENTS [J].

CHEN, MP ;

LALLI, BS ;

YU, JS .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 29 (03) :5-11

[3]

Gy??ri I., 1991, OSCILLATION THEORY D

[4] ON THE OSCILLATION OF SOLUTIONS AND EXISTENCE OF POSITIVE SOLUTIONS OF NEUTRAL DIFFERENCE-EQUATIONS [J].

LALLI, BS ;

ZHANG, BG ;

LI, JZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (01) :213-233

[5]

TANG XH, 1996, J HUNAN U, V26, P20

[6]

ZHANG G, 2001, OSCILLATION THEORY D

← 1 →