Authors: Stević, Stevo 
Title: Solution to the solvability problem for a class of product-type systems of difference equations
Journal: Advances in Difference Equations
Volume: 2017
Issue: 1
Issue Date: 1-Dec-2017
Rank: M21
ISSN: 1687-1847
DOI: 10.1186/s13662-017-1204-4
Abstract: 
Solution to the solvability problem for a class of product-type systems of difference equations is given by presenting explicit formulas for its solutions. In the main/most complicated cases the problem is solved by using two different methods. This is the last system, out of the three non-equivalent ones, for which an associated polynomial, which essentially determines the structure of the solutions, is of the third order, so that the paper finishes the study of this kind of two-dimensional systems.
Keywords: product-type system | solutions in closed form | solvability problem | system of difference equations
Publisher: Springer Link

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