Publication detail
An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation
DIBLÍK, J. KÚDELČÍKOVÁ, M. JANGLAJEW, K.
Original Title
An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation
English Title
An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation
Type
journal article in Web of Science
Language
en
Original Abstract
The paper is devoted to the investigation of a linear differential equation with advanced argument $\dot y(t)=c(t)y(t+\tau),$ where $\tau>0$, and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit coefficient criterion for the existence of a positive solution in terms of $c$ and $\tau$ is derived.
English abstract
The paper is devoted to the investigation of a linear differential equation with advanced argument $\dot y(t)=c(t)y(t+\tau),$ where $\tau>0$, and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit coefficient criterion for the existence of a positive solution in terms of $c$ and $\tau$ is derived.
Keywords
Advanced linear differential equation, positive solution, explicit criterion
RIV year
2014
Released
02.10.2014
Publisher
Southwest Missouri State University
Location
AMER INST MATHEMATICAL SCIENCES, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA
ISBN
1531-3492
Periodical
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
Year of study
19
Number
2014
State
US
Pages from
2461
Pages to
2467
Pages count
8
URL
Documents
BibTex
@article{BUT111112,
author="Josef {Diblík} and Mária {Kúdelčíková} and Klara {Janglajew}",
title="An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation",
annote="The paper is devoted to the investigation of a linear differential equation with advanced argument $\dot y(t)=c(t)y(t+\tau),$ where $\tau>0$, and the function $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \bR$ is bounded and locally Lipschitz continuous. New explicit coefficient criterion for the existence of a positive solution in terms of $c$ and $\tau$ is derived.",
address="Southwest Missouri State University",
chapter="111112",
doi="10.3934/dcdsb.2014.19.2461",
howpublished="online",
institution="Southwest Missouri State University",
number="2014",
volume="19",
year="2014",
month="october",
pages="2461--2467",
publisher="Southwest Missouri State University",
type="journal article in Web of Science"
}