Oscillation of third-order neutral differential equations

Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation

“…have been studied by many authors utilizing different methods; see, for example, [2,6,[11][12][13][15][16][17] and the references therein. In reviewing the literature, it becomes apparent that results on the oscillatory and asymptotic behavior of third order neutral differential equations are relatively scarce and most such results are concerned with the cases where 0 ≤ p(t) ≤ p 0 < 1 and −1 ≤ p(t) < 0.…”

“…In reviewing the literature, it becomes apparent that results on the oscillatory and asymptotic behavior of third order neutral differential equations are relatively scarce and most such results are concerned with the cases where 0 ≤ p(t) ≤ p 0 < 1 and −1 ≤ p(t) < 0. We refer the reader to the papers [2,6,[13][14][15][16] and the references cited therein as examples of recent results on this topic. For the classification of the 841 oscillatory and nonoscillatory behavior of solutions of nonlinear neutral differential equations based on the values of the function p(t), we refer the reader to the paper of Graef, Spikes, and Grammatikopoulos [5].…”

Oscillation of Second-Order Neutral Dynamic Equations with Mixed Arguments

“…We assert that lim t→∞ z(t) = 0. If not, similar to the proof of [26,Lemma 2], there exist two constants k > 0 and l > 0 such that…”

Asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

“…Baculíková and Džurina [5], Jiang et al [14], Jiang and Li [15], and Li and Zhang [18] considered the asymptotic properties of a class of third-order neutral differential equations…”