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Second order linear q-difference equations: nonoscillation and asymptotics

SYSNO ASEP	0368875
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Second order linear q-difference equations: nonoscillation and asymptotics
Author(s)	Řehák, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Czechoslovak Mathematical Journal. - : Springer - ISSN 0011-4642 Roč. 61, č. 4 (2011), s. 1107-1134
Number of pages	28 s.
Language	eng - English
Country	CZ - Czech Republic
Keywords	regularly varying functions ; q-difference equations ; asymptotic behavior ; oscillation
Subject RIV	BA - General Mathematics
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000299705600019
EID SCOPUS	84856252359
DOI	10.1007/s10587-011-0051-9
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2012

Number of the records: 1