GLOBAL BEHAVIOR OF TWO THIRD ORDER RATIONAL DIFFERENCE EQUATIONS WITH QUADRATIC TERMS

被引：14
|
作者：
Abo-Zeid, R. [1 ]
机构：
[1] Higher Inst Engn & Technol, Dept Basic Sci, Al Obour Cairo, Egypt
来源：
MATHEMATICA SLOVACA | 2019年 / 69卷 / 01期
关键词：
difference equation; forbidden set; periodic solution; unbounded solution;
D O I：
10.1515/ms-2017-0210
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we determine the forbidden sets, introduce an explicit formula for the solutions and discuss the global behaviors of solutions of the difference equations x(n+1) = ax(n)x(n-1)/+/- bx(n-1) + cx(n-2), n = 0, 1, ... where a, b, c are positive real numbers and the initial conditions x(-2), x(-1), x(0) are real numbers. (C) 2019 Mathematical Institute Slovak Academy of Sciences
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页码：147 / 158
页数：12
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