Number of the records: 1

Rapidly varying decreasing solutions of half-linear difference equations

SYSNO ASEP	0323391
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Rapidly varying decreasing solutions of half-linear difference equations
Title	Rychle se měnící klesající řešení pololineárních diferenčních rovnic
Author(s)	Matucci, S. (IT) Řehák, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Mathematical and Computer Modelling. - : Elsevier - ISSN 0895-7177 Roč. 49, č. 8 (2009), s. 1692-1699
Number of pages	8 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	rapidly varying sequence ; regularly varying sequence ; half-linear difference equation
Subject RIV	BA - General Mathematics
R&D Projects	KJB100190701 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000263892900037
Annotation	In this paper a necessary and sufficient condition is derived for all positive decreasing solutions of a half-linear second order difference equation to be rapidly varying of index-infinity. Relations with the standard classification of nonoscillatory solutions and with the notion of recessive solutions are also discussed. The results of this paper are complementary to those of a previous paper by the authors, and lead to a complete characterization of positive decreasing solutions with respect to their regularly or rapidly varying behavior.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2009

Number of the records: 1