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Second order problem with a symmetric nonlinearity

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43956018" target="_blank" >RIV/49777513:23520/19:43956018 - isvavai.cz</a>

  • Result on the web

    <a href="https://www.scopus.com/search/form.uri?display=basic" target="_blank" >https://www.scopus.com/search/form.uri?display=basic</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Second order problem with a symmetric nonlinearity

  • Original language description

    The purpose of this work is to study the existence of a solution to the nonlinear second order ordinary differential equation u&apos;&apos;(x) + m2 u(x) + g(x, u) = f(x) , x ∈ [0, T] , u(0) = u(π) = 0 , where m ∈ N, g is a Carathéodory function, f ∈ L1(0, π), a quotient g(x,s) lies between −2m + 1 and 2m + 1. The technique we use is the saddle point theorem.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Aplimat : Journal of Applied Mathematics

  • ISBN

    978-1-5108-8214-0

  • ISSN

  • e-ISSN

  • Number of pages

    10

  • Pages from-to

    1164-1173

  • Publisher name

    Slovak University of Technology in Bratislava

  • Place of publication

    Bratislava

  • Event location

    Bratislava

  • Event date

    Feb 5, 2019

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article