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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F09%3A00028572%21RIV10-MSM-14310___
rdf:type
n14:Vysledek skos:Concept
dcterms:description
In this paper we prove the differentiability properties of solutions of nonlinear dynamic equations on time scales with respect to parameters. This complements the previous work of the first and third authors regarding the existence and continuity of solutions with respect to parameters. In addition, we treat separately time scale dynamic equations which are linear with respect to the unknown function and the parameter. For this case we derive an improved result which says that the solution is an entire function of the parameter. In this paper we prove the differentiability properties of solutions of nonlinear dynamic equations on time scales with respect to parameters. This complements the previous work of the first and third authors regarding the existence and continuity of solutions with respect to parameters. In addition, we treat separately time scale dynamic equations which are linear with respect to the unknown function and the parameter. For this case we derive an improved result which says that the solution is an entire function of the parameter.
dcterms:title
Differentiation of solutions of dynamic equations on time scales with respect to parameters Differentiation of solutions of dynamic equations on time scales with respect to parameters
skos:prefLabel
Differentiation of solutions of dynamic equations on time scales with respect to parameters Differentiation of solutions of dynamic equations on time scales with respect to parameters
skos:notation
RIV/00216224:14310/09:00028572!RIV10-MSM-14310___
n3:aktivita
n6:P n6:Z
n3:aktivity
P(GA201/07/0145), P(KJB100190701), P(ME 891), Z(MSM0021622409)
n3:cisloPeriodika
1
n3:dodaniDat
n10:2010
n3:domaciTvurceVysledku
Zeidan, Vera Michel Kratz, Werner n16:6860591
n3:druhVysledku
n18:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n7:predkladatel
n3:idSjednocenehoVysledku
310510
n3:idVysledku
RIV/00216224:14310/09:00028572
n3:jazykVysledku
n15:eng
n3:klicovaSlova
Time scale; Embedding theorem; Differentiation with respect to parameters; Entire function; Complex domain
n3:klicoveSlovo
n5:Entire%20function n5:Embedding%20theorem n5:Differentiation%20with%20respect%20to%20parameters n5:Time%20scale n5:Complex%20domain
n3:kodStatuVydavatele
IN - Indická republika
n3:kontrolniKodProRIV
[C9C256A42475]
n3:nazevZdroje
Advances in Dynamical Systems and Applications
n3:obor
n8:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
3
n3:projekt
n11:KJB100190701 n11:GA201%2F07%2F0145 n11:ME%20891
n3:rokUplatneniVysledku
n10:2009
n3:svazekPeriodika
4
n3:tvurceVysledku
Šimon Hilscher, Roman Zeidan, Vera Michel Kratz, Werner
n3:zamer
n17:MSM0021622409
s:issn
0973-5321
s:numberOfPages
20
n13:organizacniJednotka
14310