An explicit coefficient criterion for the existence of positive solutions to the linear advanced equation

Autor:	Mária Kúdelčíková, Klara Janglajew, Josef Diblík
Rok vydání:	2014
Předmět:	Linear differential equation Applied Mathematics Bounded function Mathematical analysis Discrete Mathematics and Combinatorics Circle criterion Function (mathematics) Lipschitz continuity Asymptotic expansion Mathematics
Zdroj:	Discrete & Continuous Dynamical Systems - B. 19:2461-2467
ISSN:	1553-524X
DOI:	10.3934/dcdsb.2014.19.2461
Popis:	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 $c\colon [t_0,\infty)\to (0,\infty)$, $t_0\in \mathbb{R}$ 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.
Databáze:	OpenAIRE
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