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STEVIČ, S. IRIČANIN, B. KOSMALA, W. ŠMARDA, Z.
Original Title
On a solvable class of nonlinear difference equations of fourth order
Type
journal article in Web of Science
Language
English
Original 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
nonlinear difference equation; solvable difference equation; general solution; closed-form formula for solutions.
Authors
STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z.
Released
26. 8. 2022
Publisher
University of Szeged
ISBN
1417-3875
Periodical
Electronic Journal of Qualitative Theory of Differential Equations
Year of study
2022
Number
37
State
Hungary
Pages from
1
Pages to
17
Pages count
URL
https://www.math.u-szeged.hu/ejqtde/p10030.pdf
BibTex
@article{BUT178913, author="Stevo {Stevič} and Bratislav {Iričanin} and Witold {Kosmala} and Zdeněk {Šmarda}", title="On a solvable class of nonlinear difference equations of fourth order", journal="Electronic Journal of Qualitative Theory of Differential Equations", year="2022", volume="2022", number="37", pages="1--17", doi="10.14232/ejqtde.2022.1.3", issn="1417-3875", url="https://www.math.u-szeged.hu/ejqtde/p10030.pdf" }