Asymptotic behavior of positive solutions of a discrete delayed equation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU122815" target="_blank" >RIV/00216305:26220/17:PU122815 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Asymptotic behavior of positive solutions of a discrete delayed equation

Original language description

Denote ${Z}_s^q:={s,s+1,dots,q}$ where $s$ and $q$ are integers such that $sleq q$. Similarly a set ${Z}_s^{infty}$ is defined. In the paper the scalar discrete equation with delay begin{equation} Delta x(n)=-left(frac{k}{k+1}right)^k frac{1}{k+1} left[1+omega(n)right] x(n-k) end{equation} is considered where function $omega colon {Z}_a^{infty}toR $ has a special form, $kge1$ is fixed integer, $nin {Z}_a^{infty}$, and $a$ is a whole number. We prove that there exists a positive solution $x=x(n)$ of the equation and give its upper estimation.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2017

Confidentiality

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

Article name in the collection

Aplimat 2017, proceedings

ISBN

978-80-227-4650-2

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

63-68

Publisher name

STU Bratislava

Place of publication

Bratislava

Event location

Bratislava

Event date

Jan 31, 2017

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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