Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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).",
  annote="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.",
  address="PERGAMON-ELSEVIER SCIENCE LTD",
  chapter="111847",
  doi="10.1016/j.aml.2013.11.010",
  howpublished="online",
  institution="PERGAMON-ELSEVIER SCIENCE LTD",
  number="2014",
  volume="35",
  year="2014",
  month="november",
  pages="72--76",
  publisher="PERGAMON-ELSEVIER SCIENCE LTD",
  type="journal article in Web of Science"
}