Publication detail

On a solvable class of nonlinear difference equations of fourth order

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

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"
}