# Solutions of 2-dim Difference Equations

Kyriakos Kefalas

Closed form solutions of 2-dim systems of autonomous difference equations.

In this article we consider closed form solutions of 2-dim systems of autonomous difference equations (*DfE*). We do not present solutions which are directly available with the *RSolve* command of *Mathematica*.

In the following, *u, *and* v*, are the unknown functions, the function *S*, is the successor function ( *S(x) = x+1 )* and *a, b, c, …r, s*,…, are arbitrary parameters defined for each solution.

In construction.