Počet záznamů: 1

A role of the coefficient of the differential term in qualitative theory of half-linear equations

  1. 1.
    0343477 - MU-W 2011 RIV CZ eng J - Článek v odborném periodiku
    Řehák, Pavel
    A role of the coefficient of the differential term in qualitative theory of half-linear equations.
    Mathematica Bohemica. Roč. 135, č. 2 (2010), s. 151-162 ISSN 0862-7959
    Grant CEP: GA AV ČR KJB100190701
    Grant ostatní: GA ČR(CZ) GA201/07/0145
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: half-linear dynamic equation * time scale * transformation * comparison theorem * oscillation criteria
    Kód oboru RIV: BA - Obecná matematika
    http://www.dml.cz/handle/10338.dmlcz/140692

    The aim of this contribution is to study the role of the coefficient r at the differential term in the qualitative theory of the half-linear dynamic equation. we discuss sign and smoothness conditions posed on r, (non)availability of some transformations, and mainly we show how the behavior of r, along with the behavior of the graininess of the time scale, affect some comparison results and (non)oscillation criteria. At the same time we provide a survey of recent results acquired by sophisicated modifications of the Riccati type technique, which are supplemented by some new observations.
    Trvalý link: http://hdl.handle.net/11104/0185947
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