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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F21%3APU142169" target="_blank" >RIV/00216305:26220/21:PU142169 - isvavai.cz</a>

Výsledek na webu

<a href="https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-021-02720-w" target="_blank" >https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-021-02720-w</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1186/s13660-021-02720-w" target="_blank" >10.1186/s13660-021-02720-w</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Inequalities and Applications

ISSN

1025-5834

e-ISSN

1029-242X

Svazek periodika

2021

Číslo periodika v rámci svazku

184

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

1-12

Kód UT WoS článku

000719888800001

EID výsledku v databázi Scopus

2-s2.0-85119133073