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Emphatic convergence and sequential solutions of generalized linear differential equations
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SYSNO ASEP 0369691 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Ostatní články Název Emphatic convergence and sequential solutions of generalized linear differential equations Tvůrce(i) Halas, Z. (CZ)
Monteiro, G.A. (BR)
Tvrdý, Milan (MU-W) RID, ORCID, SAIZdroj.dok. Memoirs on Differential Equations and Mathematical Physics - ISSN 1512-0015
Roč. 54, - (2011), s. 27-49Poč.str. 23 s. Jazyk dok. eng - angličtina Země vyd. GE - Gruzie Klíč. slova generalized linear differential equation ; continuous dependence on a parameter ; Kurzweil-Stieljes integral Vědní obor RIV BA - Obecná matematika CEZ AV0Z10190503 - MU-W (2005-2011) Anotace This 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
Počet záznamů: 1