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
English Title
Existence of solutions converging to zero for nonlinear delayed differential systems
Type
journal article in Web of Science
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.
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
ISBN
1687-1847
Periodical
Advances in Difference Equations
Year of study
2015
Number
1
State
US
Pages from
1
Pages to
10
Pages count
10
URL
Full text in the Digital Library
Documents
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 in Web of Science"
}