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How the constants in Hille-Nehari theorems depend on time scales

SYSNO ASEP	0048187
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	How the constants in Hille-Nehari theorems depend on time scales
Title	Závislost konstant v Hille-Nehariho větách na time scales
Author(s)	Řehák, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Advances in Difference Equations. - : Springer - ISSN 1687-1847 Roč. 2006, - (2006), s. 1-15
Number of pages	15 s.
Language	eng - English
Country	EG - Egypt
Keywords	dynamic equation ; time scales ; oscillation criteria
Subject RIV	BA - General Mathematics
R&D Projects	GA201/01/0079 GA ČR - Czech Science Foundation (CSF)
	GP201/01/P041 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
Annotation	We present criteria of Hille-Nehari type for second order linear dynamic equations. As a particular important case, we get that there is a (sharp) critical constant in those criteria which belongs to the interval [0,1/4], and its value depends on the graininess and the coefficient in the differential term. Also we offer some applications, e.g., criteria for strong (non)oscillation and Kneser type criteria, comparison with existing results (our theorems turn out to be new even in the discrete case as well as in many other situations), and comments with examples.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2007

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