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DIBLÍK, J.
Originální název
Explicit integral criteria for the existence of positive solutions of the linear delayed equation $\dot x(t) =-c(t)x(t-\tau(t))$
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
The paper analyses the linear differential equation with single delay $\dot x(t)=-c(t)x(t-\tau(t))$ with continuous $\tau\colon [t_0,\infty)\to (0,r]$, $r>0$, $t_0\in \bR$, and $c\colon [t_0-r,\infty)\to (0,\infty)$. New explicit integral criteria for the existence of a positive solution expressed in terms of $c$ and $\tau$ are derived, an overview of known relevant criteria is provided, and relevant comparisons are also given. It is demonstrated that the known criteria are consequences of the new results.
Klíčová slova
time delay, linear differential equation, positive solution, integral criterion
Autoři
Rok RIV
2015
Vydáno
6. 6. 2015
Nakladatel
Elsevier
ISSN
0001-8708
Periodikum
ADVANCES IN MATHEMATICS
Ročník
280
Číslo
1
Stát
Spojené státy americké
Strany od
Strany do
20
Strany počet
URL
https://www.sciencedirect.com/science/article/pii/S000187081500136X
BibTex
@article{BUT115049, author="Josef {Diblík}", title="Explicit integral criteria for the existence of positive solutions of the linear delayed equation $\dot x(t) =-c(t)x(t-\tau(t))$", journal="ADVANCES IN MATHEMATICS", year="2015", volume="280", number="1", pages="1--20", doi="10.1016/j.aim.2015.04.013", issn="0001-8708", url="https://www.sciencedirect.com/science/article/pii/S000187081500136X" }