Publication detail
Existence of solutions converging to zero for nonlinear delayed differential systems
REBENDA, J. ŠMARDA, Z.
Original Title
Existence of solutions converging to zero for nonlinear delayed differential systems
Czech Title
Existence řešení konvergujících k nule pro nelineární zpožděné diferenciální systémy
English Title
Existence of solutions converging to zero for nonlinear delayed differential systems
Type
journal article
Language
en
Original Abstract
We present a result about an interesting asymptotic property of real two-dimensional delayed differential systems satisfying certain sufficient conditions. We employ two previous results, which were obtained using a Razumikhin-type modification of the Wazewski topological method for retarded differential equations and the method of a Lyapunov-Krasovskii functional.
Czech abstract
Je prezentován výsledek o asymptotickém chování dvourozměrného systému diferenciálních rovnic se zpožděním splňujícího jisté postačující podmínky. Jsou zobecněny předcházející výsledky, které byly dokázány užitím Razumikhinovy modifikace Wazewského topologické metody pro rovnice se zpožděním a užitím Ljapunova-Krasovského funkcionálu.
English abstract
We present a result about an interesting asymptotic property of real two-dimensional delayed differential systems satisfying certain sufficient conditions. We employ two previous results, which were obtained using a Razumikhin-type modification of the Wazewski topological method for retarded differential equations and the method of a Lyapunov-Krasovskii functional.
Keywords
Differential system with delays; stability of solutions
RIV year
2015
Released
17.11.2015
Publisher
Springer
Pages from
1
Pages to
10
Pages count
10
URL
Full text in the Digital Library
BibTex
@article{BUT118322,
author="Josef {Rebenda} and Zdeněk {Šmarda}",
title="Existence of solutions converging to zero for nonlinear delayed differential systems",
annote="We present a result about an interesting asymptotic property of real two-dimensional
delayed differential systems satisfying certain sufficient conditions. We employ two
previous results, which were obtained using a Razumikhin-type modification of the
Wazewski topological method for retarded differential equations and the method of a
Lyapunov-Krasovskii functional.",
address="Springer",
chapter="118322",
doi="10.1186/s13662-015-0687-0",
howpublished="online",
institution="Springer",
number="1",
volume="2015",
year="2015",
month="november",
pages="1--10",
publisher="Springer",
type="journal article"
}