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DIBLÍK, J. KÚDELČÍKOVÁ, M. JANGLAJEW, K.
Original Title
An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation
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 $\dot y(t)=c(t)y(t+\tau),$ 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
Authors
DIBLÍK, J.; KÚDELČÍKOVÁ, M.; JANGLAJEW, K.
RIV year
2014
Released
2. 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
State
United States of America
Pages from
2461
Pages to
2467
Pages count
8
URL
http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10244
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", journal="DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B", year="2014", volume="19", number="2014", pages="2461--2467", doi="10.3934/dcdsb.2014.19.2461", issn="1531-3492", url="http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=10244" }