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||Abstract:||
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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