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
收藏
页码：11388 / 11394
页数：7
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