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Increasingly many actual problems arising in very different areas of nature and society are being reduced to difference equations or to systems of difference equations through mathematical modelling. In the last two decades there have been an huge number of papers and books devoted to qualitative analysis of solutions of nonlinear difference equations, including asymptotic behaviour, convergence, stability (both local and global), periodicity, asymptotic periodicity, attractivity, boundedness, etc. But, only rare number of them are devoted to explicit solving of nonlinear difference equations (i.e. in the so-called closed form). One of the reasons is the fact that it is not an easy problem, and in the most of the cases it is an unsolvable one. Nevertheless, the first step in qualitative analysis must be the patient check of the solvability of difference equation in closed form.
In this paper, we shall try to solve some significant rational difference equations and their systems in closed form, whose solution has been missing in the literature so far.

Rational difference equations, systems of rational difference equations, solutions, explicit solutions.