Asymptotics of perturbed discrete Euler equations in the critical case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU138472" target="_blank" >RIV/00216305:26210/21:PU138472 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2020.124825" target="_blank" >https://doi.org/10.1016/j.jmaa.2020.124825</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2020.124825" target="_blank" >10.1016/j.jmaa.2020.124825</a>

Result language
angličtina
Original language name
Asymptotics of perturbed discrete Euler equations in the critical case
Original language description
We consider the difference equation Delta(2)y(k) + p(k)y(k + 1) = 0 under the condition lim(k ->infinity) k(2)p(k) = 1/4; such a setting can cover various perturbations of the critical (double root) case in Euler type difference equations. We establish precise asymptotic formulae for all nonoscillatory solutions. An important role is played by the concept of the refined discrete regular variation, transformations of dependent and independent variable, and asymptotic theory of dynamic equations on time scales. (C) 2020 Elsevier Inc. All rights reserved.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA20-11846S" target="_blank" >GA20-11846S: Differential and difference equations of real orders: Qualitative analysis and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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