This HTML5 document contains 43 embedded RDF statements represented using HTML+Microdata notation.

The embedded RDF content will be recognized by any processor of HTML5 Microdata.

Namespace Prefixes

PrefixIRI
dctermshttp://purl.org/dc/terms/
n13http://localhost/temp/predkladatel/
n17http://linked.opendata.cz/resource/domain/vavai/projekt/
n15http://linked.opendata.cz/resource/domain/vavai/riv/tvurce/
n14http://linked.opendata.cz/resource/domain/vavai/subjekt/
n7http://linked.opendata.cz/ontology/domain/vavai/
n11http://linked.opendata.cz/resource/domain/vavai/zamer/
shttp://schema.org/
skoshttp://www.w3.org/2004/02/skos/core#
n3http://linked.opendata.cz/ontology/domain/vavai/riv/
n2http://linked.opendata.cz/resource/domain/vavai/vysledek/
rdfhttp://www.w3.org/1999/02/22-rdf-syntax-ns#
n5http://linked.opendata.cz/ontology/domain/vavai/riv/klicoveSlovo/
n10http://linked.opendata.cz/ontology/domain/vavai/riv/duvernostUdaju/
xsdhhttp://www.w3.org/2001/XMLSchema#
n12http://linked.opendata.cz/ontology/domain/vavai/riv/jazykVysledku/
n18http://linked.opendata.cz/resource/domain/vavai/vysledek/RIV%2F00216305%3A26220%2F13%3APU102365%21RIV14-GA0-26220___/
n4http://linked.opendata.cz/ontology/domain/vavai/riv/aktivita/
n20http://linked.opendata.cz/ontology/domain/vavai/riv/obor/
n19http://linked.opendata.cz/ontology/domain/vavai/riv/druhVysledku/
n8http://reference.data.gov.uk/id/gregorian-year/

Statements

Subject Item
n2:RIV%2F00216305%3A26220%2F13%3APU102365%21RIV14-GA0-26220___
rdf:type
n7:Vysledek skos:Concept
dcterms:description
In this paper we introduce a new definition of rapidly varying function on time scales. Unlike the recently studied concept of rapid variation, this new concept is more general and naturally extends and complements the already established class of rapidly varying functions. We prove some of its properties and show the relation between this new type of definition and recently introduced classical Karamata type of definition of rapid variation on time scales. Note that the theory of rapid variation on time scales unifies the existing theories from continuous and discrete cases. As an application, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying. In this paper we introduce a new definition of rapidly varying function on time scales. Unlike the recently studied concept of rapid variation, this new concept is more general and naturally extends and complements the already established class of rapidly varying functions. We prove some of its properties and show the relation between this new type of definition and recently introduced classical Karamata type of definition of rapid variation on time scales. Note that the theory of rapid variation on time scales unifies the existing theories from continuous and discrete cases. As an application, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying.
dcterms:title
Some generalizations in theory of rapid variation on time scales and its applications in dynamic equations Some generalizations in theory of rapid variation on time scales and its applications in dynamic equations
skos:prefLabel
Some generalizations in theory of rapid variation on time scales and its applications in dynamic equations Some generalizations in theory of rapid variation on time scales and its applications in dynamic equations
skos:notation
RIV/00216305:26220/13:PU102365!RIV14-GA0-26220___
n7:predkladatel
n14:orjk%3A26220
n3:aktivita
n4:P n4:Z
n3:aktivity
P(GAP201/10/1032), Z(MSM0021630503), Z(MSM0021630529)
n3:cisloPeriodika
2
n3:dodaniDat
n8:2014
n3:domaciTvurceVysledku
n15:6093760
n3:druhVysledku
n19:J
n3:duvernostUdaju
n10:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
106322
n3:idVysledku
RIV/00216305:26220/13:PU102365
n3:jazykVysledku
n12:eng
n3:klicovaSlova
Rapidly varying function, regularly varying function, regularly bounded function, time scale, half-linear dynamic equation.
n3:klicoveSlovo
n5:regularly%20bounded%20function n5:regularly%20varying%20function n5:Rapidly%20varying%20function n5:time%20scale n5:half-linear%20dynamic%20equation.
n3:kodStatuVydavatele
SK - Slovenská republika
n3:kontrolniKodProRIV
[62A867125AD0]
n3:nazevZdroje
Journal of Applied Mathematics
n3:obor
n20:BA
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
1
n3:projekt
n17:GAP201%2F10%2F1032
n3:rokUplatneniVysledku
n8:2013
n3:svazekPeriodika
5 (2012)
n3:tvurceVysledku
Vítovec, Jiří
n3:zamer
n11:MSM0021630529 n11:MSM0021630503
s:issn
1337-6365
s:numberOfPages
8
n13:organizacniJednotka
26220