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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F11%3A00369691%21RIV12-AV0-67985840
rdf:type
skos:Concept n6:Vysledek
dcterms:description
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 asequential 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. 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 asequential 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.
dcterms:title
Emphatic convergence and sequential solutions of generalized linear differential equations Emphatic convergence and sequential solutions of generalized linear differential equations
skos:prefLabel
Emphatic convergence and sequential solutions of generalized linear differential equations Emphatic convergence and sequential solutions of generalized linear differential equations
skos:notation
RIV/67985840:_____/11:00369691!RIV12-AV0-67985840
n6:predkladatel
n7:ico%3A67985840
n3:aktivita
n9:Z
n3:aktivity
Z(AV0Z10190503)
n3:cisloPeriodika
-
n3:dodaniDat
n10:2012
n3:domaciTvurceVysledku
n18:9001549
n3:druhVysledku
n13:J
n3:duvernostUdaju
n11:S
n3:entitaPredkladatele
n15:predkladatel
n3:idSjednocenehoVysledku
197390
n3:idVysledku
RIV/67985840:_____/11:00369691
n3:jazykVysledku
n17:eng
n3:klicovaSlova
generalized linear differential equation; continuous dependence on a parameter; Kurzweil-Stieljes integral
n3:klicoveSlovo
n8:generalized%20linear%20differential%20equation n8:Kurzweil-Stieljes%20integral n8:continuous%20dependence%20on%20a%20parameter
n3:kodStatuVydavatele
GE - Gruzie
n3:kontrolniKodProRIV
[6C75D32AD591]
n3:nazevZdroje
Memoirs on Differential Equations and Mathematical Physics
n3:obor
n16:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
3
n3:rokUplatneniVysledku
n10:2011
n3:svazekPeriodika
54
n3:tvurceVysledku
Monteiro, G. A. Halas, Z. Tvrdý, Milan
n3:zamer
n4:AV0Z10190503
s:issn
1512-0015
s:numberOfPages
23