On the Oscillation Criteria for Fourth-Order $p$-Laplacian Differential Equations with Middle Term

Abstract

In this paper, we study the oscillatory properties of the solutions of a class of fourth-order p -Laplacian differential equations with middle term. The new oscillation criteria obtained by using the theory of comparison with first- and second-order differential equations and a refinement of the Riccati transformations. The results in this paper improve and generalize the corresponding results in the literatures. Three examples are provided to illustrate our results.

Kamenev-Type Criteria for Testing the Asymptotic Behavior of Solutions of Third-Order Quasi-Linear Neutral Differential Equations

“…Moreover, one may trace the variation of fractional DDEs in Survey [22]. Whereas [23][24][25] dealt with damping equations, and [26][27][28][29] studied mixed equations. Over the past 20 years, functional dynamic equations have also drawn a lot of attention; see, for instance, [30][31][32].…”

Oscillation of Neutral Differential Equations with Damping Terms

“…Yang and Bai [19] investigated the oscillation behavior of solutions of the fourth-order p-Laplacian differential equations with the middle term r(s) y (s) p 1 −2 y (s) + p(s) y (s)…”