Authors: Stević, Stevo 
Iričanin, Bratislav
Kosmala, Witold
Šmarda, Zdeněk
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On a solvable class of nonlinear difference equations of fourth order
Journal: Electronic Journal of Qualitative Theory of Differential Equations
Issue: 37
First page: 1
Last page: 17
Issue Date: 2022
Rank: ~M21a
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2022.1.37
We consider a class of nonlinear difference equations of the fourth order, which extends some equations in the literature. It is shown that the class of equations is solvable in closed form explaining theoretically, among other things, solvability of some previously considered very special cases. We also present some applications of the main theorem through two examples, which show that some results in the literature are not correct.
Keywords: closed-form formula for solutions | general solu-tion | nonlinear difference equation | solvable difference equation
Publisher: Bolyai Institute, University of Szeged and the Hungarian Academy of Sciences

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