On a nonlinear second order system of difference equations

被引：6

作者：

Stevic, Stevo ^{[1
,2
]}

Alghamdi, Mohammed A. ^{[2
]}

Alotaibi, Abdullah ^{[2
]}

Shahzad, Naseer ^{[2
]}

机构：

[1] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 24期

关键词：

System of difference equations; Second order; Boundedness character; ASYMPTOTIC-BEHAVIOR; BOUNDEDNESS CHARACTER; GLOBAL STABILITY; ATTRACTIVITY; OSCILLATION; X(N+1); XN+1;

D O I：

10.1016/j.amc.2013.05.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that all positive solutions of the next system of difference equations x(n+1) = A + y(n)(p)/x(n-1)(q), n is an element of N-0, where parameters A, p and q are positive numbers, are bounded if one of the following conditions is satisfied p(2) < 4q, or 2 root p <= 1 < q,q is an element of (0, 1), and that the system has positive unbounded solutions when p(2) >= 4q > 4, or p >= 1 + q. q <= 1, completely describing the boundedness character of the system in this case. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：11388 / 11394

页数：7

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