Oscillation theorems for fourth‐order delay differential equations with a negative middle term

Abstract

This paper deals with the oscillation of the fourth-order linear delay differential equation with a negative middle term under the assumption that all solutions of the auxiliary third-order differential equation are nonoscillatory. Examples are included to illustrate the importance of results obtained. KEYWORDScomparison theorem, delay argument, fourth-order differential equations, oscillation y (4) (t) + q(t)y( (t)) = 0 7830

Oscillatory Solutions to Neutral Delay Differential Equations

“…In recent years, and in context of oscillation theory, many studies have been devoted to the oscillation conditions for non-linear delay differential equations; the reader can refer to [8][9][10][11][12][13][14][15][16].…”

On oscillation of higher-order advanced trinomial differential equations

“…are oscillatory. In 2015 and 2017, Baculíková, Džurina and Jadlovská [11,13] discussed the oscillatory behaviors of solutions of the two equations…”

“…In addition, [30,31] were concerned with the oscillatory properties of solutions to the Swift-Hohenberg differential equation (1.3). At the end of [13], they proposed an interesting problem for further investigation: how these equations can be higher-order trinomial delay equations of the form…”

Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations

“…Many authors, see [9,13,15,30,31] studied the oscillatory behavior of the higher-order advanced differential equation…”