Abstract view
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An oscillation criterion for first order linear delay differential equations
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Published:1998-06-01
Printed: Jun 1998
Ch. G. Philos
Y. G. Sficas
Abstract
A new oscillation criterion is given for the delay differential
equation $x'(t)+p(t)x \left(t-\tau(t)\right)=0$, where $p$, $\tau
\in \C \left([0,\infty),[0,\infty)\right)$ and the function
$T$ defined by $T(t)=t-\tau(t)$, $t\ge 0$ is increasing and such
that $\lim_{t\to\infty}T(t)=\infty$. This criterion concerns the
case where $\liminf_{t\to\infty} \int_{T(t)}^{t}p(s)\,ds\le
\frac{1}{e}$.
