Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Note on theoretical and practical solvability of a class of discrete equations generalizing the hyperbolic-cotangent class
Original language description
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.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Inequalities and Applications
ISSN
1025-5834
e-ISSN
1029-242X
Volume of the periodical
2021
Issue of the periodical within the volume
184
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
1-12
UT code for WoS article
000719888800001
EID of the result in the Scopus database
2-s2.0-85119133073