Detail publikačního výsledku

On a solvable class of nonlinear difference equations of fourth order

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z.

Originální název

On a solvable class of nonlinear difference equations of fourth order

Anglický název

On a solvable class of nonlinear difference equations of fourth order

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

nonlinear difference equation; solvable difference equation; general solution; closed-form formula for solutions.

Klíčová slova v angličtině

nonlinear difference equation; solvable difference equation; general solution; closed-form formula for solutions.

Autoři

STEVIČ, S.; IRIČANIN, B.; KOSMALA, W.; ŠMARDA, Z.

Rok RIV

2023

Vydáno

26.08.2022

Nakladatel

University of Szeged

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Svazek

2022

Číslo

37

Stát

Maďarsko

Strany od

1

Strany do

17

Strany počet

17

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"
}