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Positive solutions of the equation x'=-c(t)x(t-r) in the critical case.

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F00%3APU18519" target="_blank" >RIV/00216305:26220/00:PU18519 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Positive solutions of the equation x'=-c(t)x(t-r) in the critical case.

  • Original language description

    It is considered the asymptotic behaviour of the solutions to the equation $$dot x(t)= -c(t)x(t-tau),quad c(t)> 0,$$ in the nonoscillatory case. There are obtained two-sided (from below and from above) sharp estimates for the pair of subdominant and dominant solutions to the equation.

  • 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%2F96%2F0410" target="_blank" >GA201/96/0410: Differential and functional - differential equations</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2000

  • 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 Mathematical Analysis and Application

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    2000

  • Issue of the periodical within the volume

    250

  • Country of publishing house

    CZ - CZECH REPUBLIC

  • Number of pages

    25

  • Pages from-to

    635-659

  • UT code for WoS article

  • EID of the result in the Scopus database