GLOBAL BEHAVIOR OF A THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS OF ORDER THREE

被引：16
|
作者：
Tollu, Durhasan Turgut [1 ]
Yalcinkaya, Ibrahim [1 ]
机构：
[1] Necmettin Erbakan Univ, Dept Math Comp Sci, Fac Sci, Konya, Turkey
来源：
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期
关键词：
System of difference equations; stability; global behavior; periodic solution; STABILITY; PERIODICITY;
D O I：
10.31801/cfsuasmas.443530
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the global behavior of the positive solutions of the system of difference equations u(n+1) = alpha(1)u(n-1)/beta(1)+gamma(1)v(n-2)(p) , v(n+1) = alpha(2)v(n-1)/beta(2)+gamma(2)w(n-2)(q) , w(n+1) = alpha(3)w(n-1)/beta(3)+gamma(3)u(n-2)(r) for n is an element of N-0 where the initial conditions u-i, v-i, w-i (i = 0, 1, 2) are non-negative real numbers and the parameters alpha(j), beta(j), gamma(j) (j = 1, 2, 3) and p, q, r are positive real numbers, by extending some results in the literature.
引用
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页码：1 / 16
页数：16
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