ON THE SOLUTIONS OF DIFFERENCE EQUATIONS OF ORDER FOUR

被引：1
|
作者：
El-Metwally, H. [1 ,3 ]
Elsayed, E. M. [2 ,3 ]
Elabbasy, E. M. [3 ]
机构：
[1] King AbdulAziz Univ, Fac Sci & Art Rabigh, Dept Math, Rabigh 21911, Saudi Arabia
[2] King AbdulAziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[3] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2013年 / 43卷 / 03期
关键词：
Periodicity; boundedness; solution of difference equations; GLOBAL ATTRACTIVITY; DYNAMICS;
D O I：
10.1216/RMJ-2013-43-3-877
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we deal with the behavior of the solution of the following difference equation x(n + 1) = ax(n-1) + bx(n-1)(2)/cx(n-1) + dx(n-3), n = 0, 1, ... , where the initial conditions x(-3), x(-2), x(-1), x(0) are arbitrary positive real numbers and a, b, c, d are positive constants. Also, we obtain the solution of some special cases of this equation.
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页码：877 / 894
页数：18
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