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Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F19%3A73599370" target="_blank" >RIV/61989592:15310/19:73599370 - isvavai.cz</a>

  • Result on the web

    <a href="https://obd.upol.cz/id_publ/333179256" target="_blank" >https://obd.upol.cz/id_publ/333179256</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.12775/TMNA.2019.031" target="_blank" >10.12775/TMNA.2019.031</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Existence, localization and stability of limit-periodic solutions to differential equations involving cubic nonlinearities

  • Original language description

    We will prove, besides other things like localization and (in)stability, that the differential equations of the first and second orders, where the forcing functions are uniformly limit-periodic functions, possess for sufficiently small values of a small paremeter uniformly limit-periodic solutions, provided the forcing function in the first-order equation is strictly positive. As far as we know, these are the first nontrivial effective criteria, obtained for limit-periodic solutions of nonlinear differential equations, in the lack of global lipschitzianity restrictions. A simple illustrative example is also indicated for difference equations.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Topological Methods in Nonlinear Analysis

  • ISSN

    1230-3429

  • e-ISSN

  • Volume of the periodical

    2019

  • Issue of the periodical within the volume

    54

  • Country of publishing house

    PL - POLAND

  • Number of pages

    20

  • Pages from-to

    887-906

  • UT code for WoS article

    000522659000003

  • EID of the result in the Scopus database

    2-s2.0-85063914442