Oscillation for third-order nonlinear differential equations with deviating argument
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 \textit{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.
scientific article; zbMATH DE number 5690921