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Zbl 0682.34049
Oscillations of neutral differential equations with variable coefficients.
(English)
[J] Appl. Anal. 32, No.3-4, 215-228 (1989). ISSN 0003-6811; ISSN 1563-504X/e

Summary: We obtain sufficient conditions for the oscillation of all solutions of the neutral differential equation $$\frac{d}{dt}[y(t)+P(t)y(t- \tau)]+Q(t)y(t-\sigma)=0$$ where $P,Q\in C[[t\sb 0,\infty),{\bbfR}]$ and $\tau$, $\sigma \in {\bbfR}\sp+$. Our results extend and improve several known results in the literature. These improvements and extensions are obtained by establishing and using some lemmas which are interesting in their own rights and which may have further applications in analysis.
MSC 2000:
*34K99 Functional-differential equations
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillation; neutral differential equation; applications

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