On a solvable class of nonlinear difference equations of fourth order

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...

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Bibliographic Details
Main Authors: Stević Stevo
Iričanin Bratislav
Kosmala Witold
Šmarda Zdeněk
Format: Serial
Published: 2022
Series:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Differenciálegyenlet - nemlineáris - negyedrendű
Subjects:
doi:10.14232/ejqtde.2022.1.37

Online Access:http://acta.bibl.u-szeged.hu/76538
Description
Summary: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.
Physical Description:17
ISSN:1417-3875