2019
DOI: 10.1016/j.amc.2018.10.091
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New oscillation criteria for second-order half-linear advanced differential equations

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Cited by 60 publications
(39 citation statements)
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“…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.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…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.…”
Section: Discussionmentioning
confidence: 99%
“…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].…”
Section: Introductionmentioning
confidence: 99%
“…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.…”
Section: Introductionmentioning
confidence: 99%
“…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.…”
Section: Introductionmentioning
confidence: 99%