Publication result detail

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.

Original Title

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

English Title

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

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

advanced linear differential equation, positive solution, explicit criterion

Key words in English

advanced linear differential equation, positive solution, explicit criterion

Authors

DIBLÍK, J.; KÚDELČÍKOVÁ, M.

RIV year

2017

Released

02.12.2014

Publisher

PERGAMON-ELSEVIER SCIENCE LTD

Location

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

ISBN

0893-9659

Periodical

Applied Mathematics Letters

Volume

38

Number

2014

State

United States of America

Pages from

144

Pages to

148

Pages count

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"
}