Oscillation of third-order nonlinear neutral differential equations

Asymptotic properties of solutions to third order neutral differential equations with delay

“…³ [16]- [27]´, Tunç [29,30]. This problem for neutral differential equations has received considerable attention in recent years Baculíková [4], Mihalíková and Kostiková [5], Das and Misra [6], Dorociaková [7], Došlá and Liška [8,9], Kulenovic et al [13], Tian et al [28], Li et al [31], Yu et al [32], Yu Jianshe [33]. Many books dealt with the neutral delay differential equation and obtained many good results, for example Arino et al [3], El'sgol'ts [10].…”

Oscillatory Properties of Third-Order Neutral Delay Differential Equations with Noncanonical Operators

“…A further improvement of these results was presented in [17]. Depending on various ranges of p, a variety of results for property A of (1), its generalizations or particular cases, exist in the literature, see, e.g., [13,[18][19][20][21][22][23][24][25][26][27] and the references cited therein. Among them, only the work in [13] considered (1) in noncanonical form with 0 ≤ p < 1.…”

Oscillation Criteria for Third Order Nonlinear Differential Equations with a Nonpositive Neutral Term

“…In recent years, there has been much research activity concerning the oscillation and nonoscillation of solutions of different classes of differential equations with linear and nonlinear neutral term, and we refer the reader to the papers [1], [2], [3], [4], [5], [6], [7], [10], [11], [13], [14], [15] and the references therein as examples of recent results on this topic. A commonly employed condition is −1 < p(t) ≤ 0 as well as the condition 0 ≤ p(t) < 1.…”