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Stability conditions for linear delay difference equations: A survey and perspectives

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F15%3APU116427" target="_blank" >RIV/00216305:26210/15:PU116427 - isvavai.cz</a>

  • Result on the web

    <a href="http://tatra.mat.savba.sk/" target="_blank" >http://tatra.mat.savba.sk/</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1515/tmmp-2015-0017" target="_blank" >10.1515/tmmp-2015-0017</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Stability conditions for linear delay difference equations: A survey and perspectives

  • Original language description

    The paper presents an overview of the basic results and methods for stability investigations of higher-order linear autonomous difference equations. The presented criteria formulate several types of necessary and sufficient conditions for the asymptotic stability of the zero solution of studied equations, with a special emphasize put on delay difference equations. Various comments, comparisons, examples and illustrations are given to support theoretical results.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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

    Tatra Mountains Mathematical Publications

  • ISSN

    1210-3195

  • e-ISSN

  • Volume of the periodical

    63

  • Issue of the periodical within the volume

    63

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    29

  • Pages from-to

    1-29

  • UT code for WoS article

  • EID of the result in the Scopus database

    2-s2.0-84943576406