Publication detail

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

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

Original Title

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

English Title

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

Type

journal article in Web of Science

Language

en

Original Abstract

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.

English abstract

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.

Keywords

Advanced linear differential equation, positive solution, explicit criterion

RIV year

2014

Released

02.10.2014

Publisher

Southwest Missouri State University

Location

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

ISBN

1531-3492

Periodical

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Year of study

19

Number

2014

State

US

Pages from

2461

Pages to

2467

Pages count

8

URL

Documents

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",
  annote="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.",
  address="Southwest Missouri State University",
  chapter="111112",
  doi="10.3934/dcdsb.2014.19.2461",
  howpublished="online",
  institution="Southwest Missouri State University",
  number="2014",
  volume="19",
  year="2014",
  month="october",
  pages="2461--2467",
  publisher="Southwest Missouri State University",
  type="journal article in Web of Science"
}