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Zbl 1057.34077
Oscillation of second order linear delay differential equations.
(English)
[J] Funct. Differ. Equ. 7, No. 1-2, 121-145 (2000). ISSN 0793-1786

This paper deals with the existence of oscillatory solutions of the equation $$u''(t)+ p(t)u(\tau(t))= 0,$$ where $p:\bbfR_+\to \bbfR_+$ is locally integrable, $\tau:\bbfR_+\to \bbfR$ is continuous, $\tau(t)\le t$ for $t\ge 0$, $\tau(t)\to+\infty$ and $$\text{mes}\{s\ge t\mid p(s)> 0\}> 0\quad\text{for }t\ge 0.$$ Here, mes denotes the Lebesgue measure on the real line. A number of known results is improved.
[Messoud A. Efendiev (Berlin)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations

Keywords: oscillation problem; Hille's criteria; linear delay; differential equation

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