Publication 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 $\dot x(t) = c (t) x (t + \tau)$

Type

journal article in Web of Science

Language

English

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.

Keywords

advanced linear differential equation, positive solution, explicit criterion

Authors

DIBLÍK, J.; KÚDELČÍKOVÁ, M.

RIV year

2014

Released

2. 12. 2014

Publisher

PERGAMON-ELSEVIER SCIENCE LTD

Location

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

ISBN

0893-9659

Periodical

APPLIED MATHEMATICS LETTERS

Year of study

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"
}