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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F11%3A00368875%21RIV12-AV0-67985840
rdf:type
n8:Vysledek skos:Concept
dcterms:description
The paper can be undestood as a completion of the q-Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear q-difference equations. The q-Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice qNo:={qk:k N0] with q>1. In addition to recalling the existing concepts of q-regular variation and q-rapid variation we introduce q-regularly bounded functions and prove many related properties. The paper can be undestood as a completion of the q-Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear q-difference equations. The q-Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice qNo:={qk:k N0] with q>1. In addition to recalling the existing concepts of q-regular variation and q-rapid variation we introduce q-regularly bounded functions and prove many related properties.
dcterms:title
Second order linear q-difference equations: nonoscillation and asymptotics Second order linear q-difference equations: nonoscillation and asymptotics
skos:prefLabel
Second order linear q-difference equations: nonoscillation and asymptotics Second order linear q-difference equations: nonoscillation and asymptotics
skos:notation
RIV/67985840:_____/11:00368875!RIV12-AV0-67985840
n8:predkladatel
n9:ico%3A67985840
n4:aktivita
n16:Z n16:P
n4:aktivity
P(GAP201/10/1032), Z(AV0Z10190503)
n4:cisloPeriodika
4
n4:dodaniDat
n12:2012
n4:domaciTvurceVysledku
n18:5894484
n4:druhVysledku
n19:J
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n15:predkladatel
n4:idSjednocenehoVysledku
228511
n4:idVysledku
RIV/67985840:_____/11:00368875
n4:jazykVysledku
n6:eng
n4:klicovaSlova
regularly varying functions; q-difference equations; asymptotic behavior; oscillation
n4:klicoveSlovo
n7:asymptotic%20behavior n7:regularly%20varying%20functions n7:oscillation n7:q-difference%20equations
n4:kodStatuVydavatele
CZ - Česká republika
n4:kontrolniKodProRIV
[BFE1986B7F9E]
n4:nazevZdroje
Czechoslovak Mathematical Journal
n4:obor
n20:BA
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
1
n4:projekt
n13:GAP201%2F10%2F1032
n4:rokUplatneniVysledku
n12:2011
n4:svazekPeriodika
61
n4:tvurceVysledku
Řehák, Pavel
n4:wos
000299705600019
n4:zamer
n14:AV0Z10190503
s:issn
0011-4642
s:numberOfPages
28
n3:doi
10.1007/s10587-011-0051-9