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On certain asymptotic class of solutions to second-order linear q-diference equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00372060" target="_blank" >RIV/67985840:_____/12:00372060 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1088/1751-8113/45/5/055202" target="_blank" >http://dx.doi.org/10.1088/1751-8113/45/5/055202</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1088/1751-8113/45/5/055202" target="_blank" >10.1088/1751-8113/45/5/055202</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On certain asymptotic class of solutions to second-order linear q-diference equations

  • Original language description

    The paper deals with the linear second order $q$-difference equation $y(q^2t)+a(t)y(qt)+b(t)y(t)=0$, $b(t)ne 0$, considered on ${q^k:kinN_0}$, $q>1$. The class of functions satisfying the relation $y(qt)/y(t)simomega(t)$ as $ttoinfty$ for some function $omega$ is introduced and studied. Sufficient and necessary conditions are established for the equation to have solutions in this class. Related results concerning estimates for solutions and (non)oscillation of all solutions are discussed. A comparison with existing results is made and some applications are given.

  • 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

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2012

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Physics A-Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    45

  • Issue of the periodical within the volume

    5

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    19

  • Pages from-to

    055202

  • UT code for WoS article

    000300259500007

  • EID of the result in the Scopus database