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Zbl 0828.34057
Elbert, Á.; Stavroulakis, I.P.
Oscillation and nonoscillation criteria for delay differential equations.
(English)
[J] Proc. Am. Math. Soc. 123, No.5, 1503-1510 (1995). ISSN 0002-9939; ISSN 1088-6826/e

The equation $x'(t)+ p(t) x(\tau(t))= 0$, $t\ge t_0$, is considered with $p(t)\ge 0$, $\tau(t)< t$ for $t\ge t_0$, $\lim_{t\to +\infty} \tau(t)= +\infty$. Sufficient conditions are obtained for every proper solution of this equation to be oscillatory. They make more precise in a certain sense some earlier results.
[R.G.Koplatadze (Tbilisi)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillatory

Cited in: Zbl 1029.34053 Zbl 0967.34063

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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