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A final result on the oscillation of solutions of the linear discrete delayed equation Delta x(n)=-p(n)x(n-k) with a positive coefficient

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F11%3APU93666" target="_blank" >RIV/00216305:26220/11:PU93666 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A final result on the oscillation of solutions of the linear discrete delayed equation Delta x(n)=-p(n)x(n-k) with a positive coefficient

  • Original language description

    A linear $(k+1)$th-order discrete delayed equation $Delta x(n)=-p(n)x(n-k)$ where $p(n)$ is a positive sequence is considered for $ntoinfty$. This equation is known to have a positive solution if the sequence $p(n)$ satisfies an inequality. Our aim is to show that, in the case of the opposite inequality for $p(n)$, all solutions of the equation considered are oscillating for $ntoinfty$.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Abstract and Applied Analysis

  • ISSN

    1085-3375

  • e-ISSN

  • Volume of the periodical

    vol. 2011,

  • Issue of the periodical within the volume

    Article ID

  • Country of publishing house

    FK - FALKLAND ISLANDS (MALVINAS)

  • Number of pages

    28

  • Pages from-to

    1-28

  • UT code for WoS article

  • EID of the result in the Scopus database