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Regularly varying solutions of second-order difference equations with arbitrary sign coefficient

SYSNO ASEP	0351149
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Regularly varying solutions of second-order difference equations with arbitrary sign coefficient
Author(s)	Matucci, S. (IT) Řehák, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Advances in Difference Equations. - : Springer - ISSN 1687-1847 -, - (2010), s. 673761
Number of pages	16 s.
Language	eng - English
Country	US - United States
Keywords	second order linear difference equation ; regularly varying sequence ; Banach fixed point theorem
Subject RIV	BA - General Mathematics
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000285605700001
EID SCOPUS	79251545776
DOI	10.1155/2010/673761
Annotation	Necessary and sufficient conditions for regular or slow variation of all positive solutions of a second-order linear difference equation with arbitrary sign coefficient are established. Relations with the so-called M-classification are also analyzed and a generalization of the results to the half-linear case completes the paper.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1