A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00118851" target="_blank" >RIV/00216224:14310/21:00118851 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1098/rsta.2019.0374" target="_blank" >https://doi.org/10.1098/rsta.2019.0374</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1098/rsta.2019.0374" target="_blank" >10.1098/rsta.2019.0374</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs

Popis výsledku v původním jazyce

A boundary value problem associated with the difference equation with advanced argument * Delta(an phi(Delta xn))+bn phi(xn+p)=0,n &gt;= 1 is presented, where phi(u) = |u|(alpha)sgn u, alpha &gt; 0, p is a positive integer and the sequences a, b, are positive. We deal with a particular type of decaying solution of (*), that is the so-called intermediate solution (see below for the definition). In particular, we prove the existence of this type of solution for (*) by reducing it to a suitable boundary value problem associated with a difference equation without deviating argument. Our approach is based on a fixed-point result for difference equations, which originates from existing ones stated in the continuous case. Some examples and suggestions for future research complete the paper. This article is part of the theme issue 'Topological degree and fixed point theories in differential and difference equations'.

Název v anglickém jazyce

A fixed-point approach for decaying solutions of difference equations: A fixed point approach to discrete BVPs

Popis výsledku anglicky

A boundary value problem associated with the difference equation with advanced argument * Delta(an phi(Delta xn))+bn phi(xn+p)=0,n &gt;= 1 is presented, where phi(u) = |u|(alpha)sgn u, alpha &gt; 0, p is a positive integer and the sequences a, b, are positive. We deal with a particular type of decaying solution of (*), that is the so-called intermediate solution (see below for the definition). In particular, we prove the existence of this type of solution for (*) by reducing it to a suitable boundary value problem associated with a difference equation without deviating argument. Our approach is based on a fixed-point result for difference equations, which originates from existing ones stated in the continuous case. Some examples and suggestions for future research complete the paper. This article is part of the theme issue 'Topological degree and fixed point theories in differential and difference equations'.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/GA20-11846S" target="_blank" >GA20-11846S: Diferenciální a diferenční rovnice reálných řádů: kvalitativní analýza a její aplikace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název periodika

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

ISSN

1364-503X

e-ISSN

1471-2962

Svazek periodika

379

Číslo periodika v rámci svazku

2191

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

20190374

Kód UT WoS článku

000607466700007

EID výsledku v databázi Scopus

2-s2.0-85099269886