The asymptotic properties of the dynamic equation with a delayed argument

In this paper, we present some asymptotic results related to the scalar dynamic equation with a delayed argument. Using the time scale calculus we generalize some results known in the differential and difference case to the more general dynamic case.

Bibliographic Details
Main Authors: Jan Čermák, Miroslav Urbánek
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2006-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol26/3/art/opuscula_math_2631.pdf
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spelling doaj-f869598e4a074dfba9f86b16089b0b9b2020-11-24T22:51:32ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742006-01-012634214292631The asymptotic properties of the dynamic equation with a delayed argumentJan ČermákMiroslav Urbánek0Brno University of Technology, Faculty of Mechanical Engineering, Department of Mathematics, Technická 2, 616 69 Brno, Czech RepublicIn this paper, we present some asymptotic results related to the scalar dynamic equation with a delayed argument. Using the time scale calculus we generalize some results known in the differential and difference case to the more general dynamic case.http://www.opuscula.agh.edu.pl/vol26/3/art/opuscula_math_2631.pdfdynamic equationtime scaleasymptotic behavior
collection DOAJ
language English
format Article
sources DOAJ
author Jan Čermák
Miroslav Urbánek
spellingShingle Jan Čermák
Miroslav Urbánek
The asymptotic properties of the dynamic equation with a delayed argument
Opuscula Mathematica
dynamic equation
time scale
asymptotic behavior
author_facet Jan Čermák
Miroslav Urbánek
author_sort Jan Čermák
title The asymptotic properties of the dynamic equation with a delayed argument
title_short The asymptotic properties of the dynamic equation with a delayed argument
title_full The asymptotic properties of the dynamic equation with a delayed argument
title_fullStr The asymptotic properties of the dynamic equation with a delayed argument
title_full_unstemmed The asymptotic properties of the dynamic equation with a delayed argument
title_sort asymptotic properties of the dynamic equation with a delayed argument
publisher AGH Univeristy of Science and Technology Press
series Opuscula Mathematica
issn 1232-9274
publishDate 2006-01-01
description In this paper, we present some asymptotic results related to the scalar dynamic equation with a delayed argument. Using the time scale calculus we generalize some results known in the differential and difference case to the more general dynamic case.
topic dynamic equation
time scale
asymptotic behavior
url http://www.opuscula.agh.edu.pl/vol26/3/art/opuscula_math_2631.pdf
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