Počet záznamů: 1  

Existence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities

  1. 1.
    SYSNO ASEP0504396
    Druh ASEPJ - Článek v odborném periodiku
    Zařazení RIVJ - Článek v odborném periodiku
    Poddruh JČlánek ve WOS
    NázevExistence and multiplicity of periodic solutions to indefinite singular equations having a non-monotone term with two singularities
    Tvůrce(i) Hakl, Robert (MU-W) RID, SAI, ORCID
    Zamora, M. (ES)
    Zdroj.dok.Advanced Nonlinear Studies - ISSN 1536-1365
    Roč. 19, č. 2 (2019), s. 317-332
    Poč.str.16 s.
    Jazyk dok.eng - angličtina
    Země vyd.DE - Německo
    Klíč. slovaindefinite weight ; periodic solution ; singular differential equation
    Vědní obor RIVBA - Obecná matematika
    Obor OECDApplied mathematics
    Způsob publikováníOmezený přístup
    Institucionální podporaMU-W - RVO:67985840
    UT WOS000465562200004
    EID SCOPUS85048113744
    DOI10.1515/ans-2018-2018
    AnotaceEfficient conditions guaranteeing the existence and multiplicity of T-periodic solutions to the second order differential equation u ′′ = h (t)g(u) are established. Here, g : ( A , B ) → (0, + ∞) is a positive function with two singularities, and h ϵ L (ℝ/T ℤ) is a general sign-changing function. The obtained results have a form of relation between multiplicities of zeros of the weight function h and orders of singularities of the nonlinear term. Our results have applications in a physical model, where from the equation u ′′ = h(t) sin2 u one can study the existence and multiplicity of periodic motions of a charged particle in an oscillating magnetic field on the sphere. The approach is based on the classical properties of the Leray-Schauder degree.
    PracovištěMatematický ústav
    KontaktJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Rok sběru2020
    Elektronická adresahttp://dx.doi.org/10.1515/ans-2018-2018
Počet záznamů: 1