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A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00029875" target="_blank" >RIV/00216224:14310/09:00029875 - isvavai.cz</a>

  • Alternative codes found

    RIV/00216305:26220/09:PU88400

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales

  • Original language description

    We establish the so-called ``telescoping principle" for oscillation of the second order half-linear dynamic equation $$Bl[r(t)Phibl(x^{Delta }br)Br]^Delta + c(t)Phi(x^sigma)=0$$ on a time scale. This principle provides a method enabling us to construct many new oscillatory equations. Unlike previous works concerning the telescoping principle, we formulate some oscillation results under the weaker assumption $r(t)not=0$ (instead $r(t)&gt;0$).

  • 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

    <a href="/en/project/GA201%2F07%2F0145" target="_blank" >GA201/07/0145: Difference equations and dynamic equations on time scales II</a><br>

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2009

  • 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

    43

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    13

  • Pages from-to

  • UT code for WoS article

  • EID of the result in the Scopus database