Počet záznamů: 1  

Emphatic convergence and sequential solutions of generalized linear differential equations

  1. 1.
    SYSNO ASEP0369691
    Druh ASEPJ - Článek v odborném periodiku
    Zařazení RIVJ - Článek v odborném periodiku
    Poddruh JOstatní články
    NázevEmphatic convergence and sequential solutions of generalized linear differential equations
    Tvůrce(i) Halas, Z. (CZ)
    Monteiro, G.A. (BR)
    Tvrdý, Milan (MU-W) RID, ORCID, SAI
    Zdroj.dok.Memoirs on Differential Equations and Mathematical Physics - ISSN 1512-0015
    Roč. 54, - (2011), s. 27-49
    Poč.str.23 s.
    Jazyk dok.eng - angličtina
    Země vyd.GE - Gruzie
    Klíč. slovageneralized linear differential equation ; continuous dependence on a parameter ; Kurzweil-Stieljes integral
    Vědní obor RIVBA - Obecná matematika
    CEZAV0Z10190503 - MU-W (2005-2011)
    AnotaceThis contribution deals with continuous dependence generalized linear differential equations in Banach space on a parameter. The authors continue in the previous research by M. Tvrdý and G. Monteiro, where the assumption of the uniform convergence of the kernels of the equations was the basic assumption. The contribution deals with the case when thise assumption is violated. Furthermore, a notion of a~sequential solution to generalized linear differential equations is introduced and Theorems on the existence and uniqueness of sequential solutions are proved and a comparison of solutions and sequential solutions is given, as well. The convergence effects occurring in this paper are, in some sense, very close to those described by Kurzweil and called by him emphatic convergence.
    PracovištěMatematický ústav
    KontaktJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Rok sběru2012