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Zeros of derivatives of solutions to singular (p,n-p) conjugate BVPs

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F04%3A00002249" target="_blank" >RIV/61989592:15310/04:00002249 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Zeros of derivatives of solutions to singular (p,n-p) conjugate BVPs

  • Original language description

    Positive solutions of the singular (p,n-p) conjugate BVP are studied. The set of all zeros of their derivatives up to order $n-1$ is described. By means of this, estimates from below of the solutions and the absolute values of their derivatives up to order n-1 on the considered interval are reached. Such estimates are necessary for the application of the general existence principle to the BVP under consideration.

  • Czech name

    Nuly v derivacích řešení singulárních (p,n-p) sdružených okrajových podmínek

  • Czech description

    Je studováno kladné řešení singulárních (p,n-p) sdružených ODR a je popsána množina všech nul v jejich derivacích do n-1 řádu. Pomocí toho získáváme dolní odhad řešení a absolutní hodnoty jeho derivací do n-1 řádu na zkoumaném intervalu. Tyto odhady jsoupotřebné pro aplikaci obecného existenčního principu.

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%2F01%2F1451" target="_blank" >GA201/01/1451: Qualitative analysis of solutions for ordinary and functional differential equations</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2004

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium, Mathematica

  • ISSN

    0231-9721

  • e-ISSN

  • Volume of the periodical

    43

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    5

  • Pages from-to

    135-139

  • UT code for WoS article

  • EID of the result in the Scopus database