Detail publikačního výsledku

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.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

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

Rok RIV

2022

Vydáno

17.11.2021

Nakladatel

Springer Nature

ISSN

1029-242X

Periodikum

Journal of Inequalities and Applications

Svazek

2021

Číslo

184

Stát

Švýcarská konfederace

Strany od

1

Strany do

12

Strany počet

12

URL

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

Plný text v Digitální knihovně

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"
}

Dokumenty

s13660-021-02720-w