REPRESENTATION OF SOLUTIONS OF A TWO-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS

摘要

this paper we give a representation formula for the general solution to the following two-dimensional system of difference equations x(n+1) = y(n-1)x(n-2)/y(n)(a+by(n-1)x(n-2)), y(n+1) = x(n-1)y(n-2)/x(n)(a+bx(n-1)y(n-2)), n is an element of N-0 where parameters a; b and initial values x(-2), x(-1), x(0), y(-2), y(-1), y(0) are real numbers. We also give some theoretical explanations related to the representation.