학술논문
ON SOLUTIONS OF THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS.
Document Type
Article
Author
Source
Subject
*REAL numbers
*DIFFERENCE equations
*
Language
ISSN
1303-5991
Abstract
In this study, we show that the system of difference equations xn = xn-2yn-3 yn-1 (a + bxn-2yn-3), yn = yn-2zn-3 zn-1 (c + dyn-2zn-3), n = N0, zn = zn-2xn-3 xn-1 (e + fzn-2xn-3), where the initial values x-i, y-i, z-i, i = 1, 3 and the parameters a, b, c, d, e, f are non-zero real numbers, can be solved in closed form. Moreover, we obtain the solutions of above system in explicit form according to the parameters a, c and e are equal 1 or not equal 1. In addition, we get periodic solutions of aforementioned system. Finally, we define the forbidden set of the initial conditions by using the acquired formulas. [ABSTRACT FROM AUTHOR]