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Two types of stability conditions for linear delay difference equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F15%3APU113948" target="_blank" >RIV/00216305:26210/15:PU113948 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.2298/AADM141009016C" target="_blank" >http://dx.doi.org/10.2298/AADM141009016C</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.2298/AADM141009016C" target="_blank" >10.2298/AADM141009016C</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Two types of stability conditions for linear delay difference equations

  • Original language description

    The paper discusses asymptotic stability conditions for a four-parameter linear difference equation appearing in the process of discretization of a delay differential equation. We present two types of conditions, which are necessary and sufficient for asymptotic stability of the studied equation. A relationship between both the types of conditions is established and some of their consequences are discussed.

  • 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

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>

  • Continuities

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

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Applicable Analysis and Discrete Mathematics

  • ISSN

    1452-8630

  • e-ISSN

    2406-100X

  • Volume of the periodical

    9

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    RS - THE REPUBLIC OF SERBIA

  • Number of pages

    19

  • Pages from-to

    120-138

  • UT code for WoS article

    000352420500009

  • EID of the result in the Scopus database

    2-s2.0-84928526458