Detail publikačního výsledku

New explicit integral criteria for the existence of positive solutions to the linear advanced equation $\dot x(t) = c (t) x (t + \tau)$

DIBLÍK, J.; KÚDELČÍKOVÁ, M.

Originální název

New explicit integral criteria for the existence of positive solutions to the linear advanced equation $\dot x(t) = c (t) x (t + \tau)$

Anglický název

New explicit integral criteria for the existence of positive solutions to the linear advanced equation $\dot x(t) = c (t) x (t + \tau)$

Druh

Článek WoS

Originální abstrakt

The paper is devoted to the investigation of a linear differential equation with advanced argument $y'(t)=c(t)y(t+\tau)$ where $\tau>0$ is a constant advanced argument and the function $c\colon [t_0,\infty)\to [0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit integral criteria for the existence of a positive solution in terms of $c$ and $\tau$ are derived and their efficiency is demonstrated.

Anglický abstrakt

The paper is devoted to the investigation of a linear differential equation with advanced argument $y'(t)=c(t)y(t+\tau)$ where $\tau>0$ is a constant advanced argument and the function $c\colon [t_0,\infty)\to [0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit integral criteria for the existence of a positive solution in terms of $c$ and $\tau$ are derived and their efficiency is demonstrated.

Klíčová slova

advanced linear differential equation, positive solution, explicit criterion

Klíčová slova v angličtině

advanced linear differential equation, positive solution, explicit criterion

Autoři

DIBLÍK, J.; KÚDELČÍKOVÁ, M.

Rok RIV

2017

Vydáno

02.12.2014

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND

ISSN

0893-9659

Periodikum

Applied Mathematics Letters

Svazek

38

Číslo

2014

Stát

Spojené státy americké

Strany od

144

Strany do

148

Strany počet

5

URL

http://www.sciencedirect.com/science/article/pii/S0893965914002341

BibTex

@article{BUT110580,
  author="Josef {Diblík} and Mária {Kúdelčíková}",
  title="New explicit integral criteria for the existence of positive solutions to the linear advanced equation $\dot x(t) = c (t) x (t + \tau)$",
  journal="Applied Mathematics Letters",
  year="2014",
  volume="38",
  number="2014",
  pages="144--148",
  doi="10.1016/j.aml.2014.06.020",
  issn="0893-9659",
  url="http://www.sciencedirect.com/science/article/pii/S0893965914002341"
}