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Zbl 1141.34040
Saker, Samir H.
Oscillation criteria of third-order nonlinear delay differential equations. (English)
[J] Math. Slovaca 56, No. 4, 433-450 (2006). ISSN 0139-9918; ISSN 1337-2211/e

In this paper the self-adjoint nonlinear delay differential equation is studied of the form $$\Bigl (c(t)\bigl (a(t)x'(t)\bigl )'\Bigr )'+q(t)f\bigl (x(t-\sigma )\bigr )=0,$$ where $\sigma \ge 0$ and functions $c(t),a(t),q(t)$ and $f(t)$ satisfy addition conditions. Criteria are derived that every solution oscillates or converges to zero. Illustrative examples are presented.
[Michal Fečkan (Bratislava)]

MSC 2000:: *34K11 Oscillation theory of functional-differential equations

Keywords: oscillation; Kamenev-type criteria

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