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Oscillation for third-order nonlinear differential equations with deviating argument. (English) Zbl 1192.34073
Summary: We study necessary and sufficient conditions for the oscillation of the third-order nonlinear ordinary differential equation with damping term and deviating argument
$x'''(t)+q(t)x'(t)+r(t)f(x(\varphi(t)))=0.$ Motivated by the work of I. T. Kiguradze [Differ. Uravn. 28, No. 2, 207–219 (1992; Zbl 0768.34018)], the existence and asymptotic properties of nonoscillatory solutions are investigated in case when the differential operator $${\mathcal L}x=x'''+q(t)x'$$ is oscillatory.

##### MSC:
 34K11 Oscillation theory of functional-differential equations
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##### References:
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