Criticality of general two-term even-order linear difference equation via a chain of recessive solutions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F25%3A00563298" target="_blank" >RIV/60162694:G43__/25:00563298 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/mana.202300090" target="_blank" >https://doi.org/10.1002/mana.202300090</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/mana.202300090" target="_blank" >10.1002/mana.202300090</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Criticality of general two-term even-order linear difference equation via a chain of recessive solutions

Popis výsledku v původním jazyce

In this paper, the author investigates particular disconjugate even-order linear difference equations with two terms and classify them based on the properties of their recessive solutions at plus and minus infinity. The main theorem described states that the studied equation is (k-p+1)-critical whenever a specific second-order linear difference equation is p-critical. In the proof, the author derived closed-form solutions for the studied equation wherein the solutions of the said second-order equation appear. Furthermore, the solutions were organized, in order to determine recessive solutions, into a linear chain by sequence ordering that compares the solutions at + and - infinity.

Název v anglickém jazyce

Criticality of general two-term even-order linear difference equation via a chain of recessive solutions

Popis výsledku anglicky

In this paper, the author investigates particular disconjugate even-order linear difference equations with two terms and classify them based on the properties of their recessive solutions at plus and minus infinity. The main theorem described states that the studied equation is (k-p+1)-critical whenever a specific second-order linear difference equation is p-critical. In the proof, the author derived closed-form solutions for the studied equation wherein the solutions of the said second-order equation appear. Furthermore, the solutions were organized, in order to determine recessive solutions, into a linear chain by sequence ordering that compares the solutions at + and - infinity.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

Mathematische Nachrichten

ISSN

0025-584X

e-ISSN

1522-2616

Svazek periodika

297

Číslo periodika v rámci svazku

8

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

16

Strana od-do

2970-2985

Kód UT WoS článku

001208554700001

EID výsledku v databázi Scopus

2-s2.0-85191347764