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
Published in:Electronic journal of qualitative theory of differential equations 2022-01, Vol.2022 (37), p.1-17
Main Authors: Stevic, Stevo, Iricanin, Bratislav, Kosmala, Witold, Smarda, Zdenek
Format: Article
Language:English
Subjects:
closed-form formula for solutions
general solution
nonlinear difference equation
solvable difference equation
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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.
ISSN:1417-3875
1417-3875
DOI:10.14232/ejqtde.2022.1.37