Publication detail
Theory of rapid variation on time scales with applications to dynamic equations
VÍTOVEC, J.
Original Title
Theory of rapid variation on time scales with applications to dynamic equations
English Title
Theory of rapid variation on time scales with applications to dynamic equations
Type
journal article - other
Language
en
Original Abstract
First, we introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. Second, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying.
English abstract
First, we introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. Second, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying.
Keywords
Rapidly varying function; Rapidly varying sequence; Karamata function; Time scale; Second order dynamic equation.
RIV year
2010
Released
10.11.2010
ISBN
1212-5059
Periodical
Archivum Mathematicum
Year of study
46 (2010)
Number
4
State
CZ
Pages from
263
Pages to
284
Pages count
22
Documents
BibTex
@article{BUT50519,
author="Jiří {Vítovec}",
title="Theory of rapid variation on time scales with applications to dynamic equations",
annote="First, we introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. Second, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying.",
chapter="50519",
journal="Archivum Mathematicum",
number="4",
volume="46 (2010)",
year="2010",
month="november",
pages="263--284",
type="journal article - other"
}