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

页码：1 / 16

页数：16

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