New oscillation criteria for second-order half-linear advanced differential equations

Qualitative Behavior of Solutions of Second Order Differential Equations

“…To the best of our knowledge, there are not many studies known about the oscillation of Equation (1) under the assumption of Equation (4). Our primary goal is to fill this gap by presenting simple criteria for the oscillation of all solutions of Equation (1) by using the generalized Riccati transformations which differs from those reported in [22] and using a comparison technique with first order differential equation. Further, we can consider the case of τ (z) ≥ z in the future work.…”

“…and used the classical Riccati transformation technique. The present authors in this paper use the generalized Riccati substitution which differs from those reported in [20][21][22].…”

Oscillation of Second-Order Half-Linear Neutral Advanced Differential Equations

“…Hassan [11] established the Kamenev-type oscillation criteria for the second order advanced dynamic equations in the noncanonical form, as a particular case of more general second-order advanced dynamic equations on time scales. Recently, Chatzarakis et al [3] improved Hassan's oscillation criteria of equation (13). They obtained sufficient conditions for the oscillation of (1.3) different from that of Hassan.…”

Philos-type oscillation criteria for second-order linear impulsive differential equation with damping

“…The phenomenon of oscillations is observed in physics, economic, etc. Under some conditions, the solutions of the linear differential equation [19], the delay differential equation [5,7], the linear differential equation with damping [9,[20][21][22] and the half-linear advanced differential equation [4] would exhibit non-oscillatory or oscillatory properties.…”