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Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations

SYSNO ASEP	0357377
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations
Author(s)	Řehák, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Abstract and Applied Analysis - ISSN 1085-3375 -, - (2011), s. 986343
Number of pages	12 s.
Language	eng - English
Country	US - United States
Keywords	second order q-difference equation ; asymptotic behavior ; q-regularly varying sequence ; Banach fixed point theorem
Subject RIV	BA - General Mathematics
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000286231600001
EID SCOPUS	79952122679
DOI	10.1155/2011/986343
Annotation	We derive necessary and sufficient conditions for (some or all) positive solutions of the halflinear q-difference equation D-q(Phi(D(q)y(t))) + p(t)Phi(y(qt)) = 0, t is an element of {q(k) : k is an element of N-0} with q > 1, Phi(u) = vertical bar u vertical bar(alpha-1) sgn u with alpha > 1, to behave like q-regularly varying or q-rapidly varying or q-regularly bounded functions (that is, the functions y, for which a special limit behavior of y(qt)/y(t) as t -> infinity is prescribed). A thorough discussion on such an asymptotic behavior of solutions is provided. Related Kneser type criteria are presented.
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