Publication result detail

A note on explicit criteria for the existence of positive solutions to the linear advanced equation \dot (t) = c(t)x(t + \tau).

DIBLÍK, J.

Original Title

A note on explicit criteria for the existence of positive solutions to the linear advanced equation \dot (t) = c(t)x(t + \tau).

English Title

A note on explicit criteria for the existence of positive solutions to the linear advanced equation \dot (t) = c(t)x(t + \tau).

Type

WoS Article

Original Abstract

The paper investigates a linear differential equation with advanced argument \dot (t) = c(t)x(t + \tau), where \tau > 0 and the function c: [t_0,\infty) \to (0,\infty), t_0 \in R is bounded and locally Lipschitz continuous. New explicit criteria for the existence of a positive solution in terms of c and \tau are derived. An overview of known relevant criteria is provided and relevant comparisons are also given.

English abstract

The paper investigates a linear differential equation with advanced argument \dot (t) = c(t)x(t + \tau), where \tau > 0 and the function c: [t_0,\infty) \to (0,\infty), t_0 \in R is bounded and locally Lipschitz continuous. New explicit criteria for the existence of a positive solution in terms of c and \tau are derived. An overview of known relevant criteria is provided and relevant comparisons are also given.

Keywords

advanced argument, linear differential equation, positive solution, explicit criterion

Key words in English

advanced argument, linear differential equation, positive solution, explicit criterion

Authors

DIBLÍK, J.

RIV year

2017

Released

03.11.2014

Publisher

PERGAMON-ELSEVIER SCIENCE LTD

Location

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

ISBN

0893-9659

Periodical

Applied Mathematics Letters

Volume

35

Number

2014

State

United States of America

Pages from

72

Pages to

76

Pages count

5

URL

http://www.sciencedirect.com/science/article/pii/S0893965913003455

BibTex

@article{BUT111847,
  author="Josef {Diblík}",
  title="A note on explicit criteria for the existence of positive solutions to the linear advanced equation \dot (t) = c(t)x(t + \tau).",
  journal="Applied Mathematics Letters",
  year="2014",
  volume="35",
  number="2014",
  pages="72--76",
  doi="10.1016/j.aml.2013.11.010",
  issn="0893-9659",
  url="http://www.sciencedirect.com/science/article/pii/S0893965913003455"
}