Global asymptotic stability for a nonlinear delay difference equation

被引：2

作者：

Xianyi L. ^{[1
,2
]}

Deming Z. ^{[1
]}

机构：

[1] Dept. of Math, East China Normal Univ, Shanghai

[2] School of Math and Phys, Nanhua Univ, Hengyang

来源：

Applied Mathematics-A Journal of Chinese Universities | 2002年 / 17卷 / 2期

基金：

中国国家自然科学基金;

关键词：

Global asymptotic stability; Nonlinear delay difference equation; Semicycle;

D O I：

10.1007/s11766-002-0043-5

中图分类号：

学科分类号：

摘要：

In this paper, a sufficient condition for the global asymptotic stability of the solutions of the following nonlinear delay difference equation is obtained, (Formula presented) where a Є [ O, ∞) and the initial values x2, x-1, xo Є (0,∞). As a special case, a conjecture by Ladas is confirmed. © 2002, Springer Verlag. All rights reserved.

引用

页码：183 / 188

页数：5

共 50 条

[1] GLOBAL ASYMPTOTIC STABILITY FOR A NONLINEAR DELAY DIFFERENCE EQUATION
Li Xianyi1
Applied Mathematics:A Journal of Chinese Universities, 2002, (02) : 183 - 188
[2] Global asymptotic stability in a nonlinear nonautonomous difference equation with delays
Shi, B
Wang, ZC
Yu, JS
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1997, 33 (08) : 93 - 102
[3] Global asymptotic stability of a higher order nonlinear difference equation
Li, Zhi
Zhu, Deming
APPLIED MATHEMATICS LETTERS, 2006, 19 (09) : 926 - 930
[4] Asymptotic behavior of a nonlinear delay difference equation
Appl Math Lett, 6 (01):
[5] The rule of trajectory structure and global asymptotic stability for a nonlinear difference equation
Li, Xianyi
APPLIED MATHEMATICS LETTERS, 2006, 19 (11) : 1152 - 1158
[6] Global asymptotic stability of a nonlinear second-order difference equation
Zhang, DC
Shi, B
Zhai, JC
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2004, 35 (07): : 867 - 872
[7] The rule of trajectory structure and global asymptotic stability for a nonlinear difference equation
Li, Xianyi
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2007, 38 (06): : 579 - 587
[8] Global asymptotic stability of a second-order nonlinear difference equation
Su, YH
Li, WT
APPLIED MATHEMATICS AND COMPUTATION, 2005, 168 (02) : 981 - 989
[9] Asymptotic stability in a linear delay difference equation
Gyori, I
Pituk, M
ADVANCES IN DIFFERENCE EQUATIONS-BOOK, 1997, : 295 - 299
[10] Global stability for a delay difference equation
Sun T.
Xi H.
Xie M.
Journal of Applied Mathematics and Computing, 2009, 29 (1-2) : 367 - 372

← 1 2 3 4 5 →