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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
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. (en)
Title	Emphatic convergence and sequential solutions of generalized linear differential equations Emphatic convergence and sequential solutions of generalized linear differential equations (en)
skos:prefLabel	Emphatic convergence and sequential solutions of generalized linear differential equations Emphatic convergence and sequential solutions of generalized linear differential equations (en)
skos:notation	RIV/67985840:_____/11:00369691!RIV12-AV0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	-
http://linked.open...vai/riv/dodaniDat	2012
http://linked.open...aciTvurceVysledku	Tvrdý, Milan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	197390
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00369691
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	generalized linear differential equation; continuous dependence on a parameter; Kurzweil-Stieljes integral (en)
http://linked.open.../riv/klicoveSlovo	Kurzweil-Stieljes integral continuous dependence on a parameter generalized linear differential equation
http://linked.open...odStatuVydavatele	GE - Gruzie
http://linked.open...ontrolniKodProRIV	[6C75D32AD591]
http://linked.open...i/riv/nazevZdroje	Memoirs on Differential Equations and Mathematical Physics
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	54
http://linked.open...iv/tvurceVysledku	Halas, Z. Monteiro, G. A. Tvrdý, Milan
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	1512-0015
number of pages	23 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Emphatic convergence and sequential solutions of generalized linear differential equations Emphatic convergence and sequential solutions of generalized linear differential equations

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