Detail publikace

Explicit integral criteria for the existence of positive solutions of the linear delayed equation $\dot x(t) =-c(t)x(t-\tau(t))$

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

DIBLÍK, J.

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

1

Strany do

20

Strany počet

20

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"
}