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A Willett type criterion with the best possible constant for linear dynamic equations

SYSNO ASEP	0329935
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Ostatní články
Title	A Willett type criterion with the best possible constant for linear dynamic equations
Title	Kritérium Willettova typu s nejlepší konstantou pro lineární dynamické rovnice
Author(s)	Řehák, Pavel (MU-W)_{RID, SAI, ORCID}
Source Title	Advances in Discrete Dynamical Systems, Advanced Studies in Pure Mathematics - ISSN 1793-4338 - ISBN 978-4-931469-49-5 vol. 53, - (2009), s. 261-269
Number of pages	9 s.
Action	11th International Conference on Difference Equations and Applications
Event date	24.07.2006-28.07.2006
VEvent location	Kyoto
Country	JP - Japan
Event type	WRD
Language	eng - English
Country	JP - Japan
Keywords	Willett criterion ; linear dynamic equation ; time scale
Subject RIV	BA - General Mathematics
R&D Projects	KJB1019407 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
Annotation	We establish oscillation criteria a the linear dynamic equation. These criteria can be understood as an extension of the classical Willett criterion. What is special on these new results is that the constant involved in the criteria, which is equal to the magic 1/4 in the differential equations case, is in fact no more constant. In general case, it depends on the asymptotic behavior of the coefficients, and primarily on the asymptotic behavior of graininess. In addition, we prove that the value of this new constant is the best possible.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2010

Number of the records: 1