Publication result detail

Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class

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

Original Title

Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class

English Title

Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class

Type

WoS Article

Original Abstract

There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied. We show that there is a class of theoretically solvable difference equations generalizing the hyperbolic-cotangent one. Our analysis shows a bit unexpected fact, namely that the solvability of the class is based on some algebraic relations, not closely related to some trigonometric ones, which enable us to solve them in an elegant way. Some examples of the difference equations belonging to the class which are practically solvable are presented, as well as some interesting comments on connections of the equations with some iteration processes.

English abstract

There has been some recent interest in investigating the hyperbolic-cotangent types of difference equations and systems of difference equations. Among other things their solvability has been studied. We show that there is a class of theoretically solvable difference equations generalizing the hyperbolic-cotangent one. Our analysis shows a bit unexpected fact, namely that the solvability of the class is based on some algebraic relations, not closely related to some trigonometric ones, which enable us to solve them in an elegant way. Some examples of the difference equations belonging to the class which are practically solvable are presented, as well as some interesting comments on connections of the equations with some iteration processes.

Keywords

Difference equation; Theoretical solvability; Practical solvability; Equations solvable in a closed form

Key words in English

Difference equation; Theoretical solvability; Practical solvability; Equations solvable in a closed form

Authors

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

RIV year

2022

Released

17.11.2021

Publisher

Springer Nature

ISBN

1029-242X

Periodical

Journal of Inequalities and Applications

Volume

2021

Number

184

State

Swiss Confederation

Pages from

1

Pages to

12

Pages count

12

URL

https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-021-02720-w

Full text in the Digital Library

http://hdl.handle.net/11012/203087

BibTex

@article{BUT173239,
  author="Stevo {Stevič} and Bratislav {Iričanin} and Witold {Kosmala} and Zdeněk {Šmarda}",
  title="Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class",
  journal="Journal of Inequalities and Applications",
  year="2021",
  volume="2021",
  number="184",
  pages="1--12",
  doi="10.1186/s13660-021-02720-w",
  url="https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-021-02720-w"
}

Documents

s13660-021-02720-w