Detail publikačního výsledku

An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation

DIBLÍK, J.; KÚDELČÍKOVÁ, M.; JANGLAJEW, K.

Originální název

An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation

Anglický název

An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation

Druh

Článek WoS

Originální abstrakt

The paper is devoted to the investigation of a linear differential equation with advanced argument $\dot y(t)=c(t)y(t+\tau),$ where $\tau>0$, and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit coefficient criterion for the existence of a positive solution in terms of $c$ and $\tau$ is derived.

Anglický abstrakt

The paper is devoted to the investigation of a linear differential equation with advanced argument $\dot y(t)=c(t)y(t+\tau),$ where $\tau>0$, and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit coefficient criterion for the existence of a positive solution in terms of $c$ and $\tau$ is derived.

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.; JANGLAJEW, K.

Rok RIV

2017

Vydáno

02.10.2014

Nakladatel

Southwest Missouri State University

Místo

AMER INST MATHEMATICAL SCIENCES, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA

ISSN

1531-3492

Periodikum

Discrete and continuous dynamical systems - series B

Svazek

19

Číslo

2014

Stát

Spojené státy americké

Strany od

2461

Strany do

2467

Strany počet

7

URL

http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10244

BibTex

@article{BUT111112,
  author="Josef {Diblík} and Mária {Kúdelčíková} and Klara {Janglajew}",
  title="An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation",
  journal="Discrete and continuous dynamical systems - series B",
  year="2014",
  volume="19",
  number="2014",
  pages="2461--2467",
  doi="10.3934/dcdsb.2014.19.2461",
  issn="1531-3492",
  url="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10244"
}