An Explicit Criterion for the Existence of Positive Solutions of the Linear Delayed Equation x˙(t)=−c(t)x(t−τ(t))

The paper investigates an equation with single delay ẋ(t)=-c(t)x(t-τ(t)), where τ:[t0-r,∞)→(0,r], r>0, t0∈R, and c:[t0-r,∞)→(0,∞) are continuous functions, and the difference t-τ(t) is an increasing function. Its purpose is to derive a new explicit integral criterion for the existence of a posit...

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Bibliographic Details

Published in:	Abstract and Applied Analysis
Main Authors:	J. Baštinec, J. Diblík, Z. Šmarda
Format:	Article
Language:	English
Published:	Wiley 2011-01-01
Online Access:	http://dx.doi.org/10.1155/2011/561902