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.",
}