On the asymptotic behavior of fourth-order functional differential equations

Abstract

The aim of this work is to study asymptotic properties of a class of fourth-order delay differential equations. Our results in this paper not only generalize some previous results, but also improve the earlier ones. Examples are considered to elucidate the main results.

Improved Conditions for Oscillation of Functional Nonlinear Differential Equations

“…In the following, we show some previous results in the literature which related to this paper: Moaaz et al [21] studied the fourth-order nonlinear differential equations with a continuously distributed delay…”

“…More and more scholars pay attention to the oscillatory solution of functional differential equations, see [2][3][4][5], especially for the second/third-order, see [6][7][8], or higher-order equations see [9][10][11][12][13][14][15][16][17]. With the development of the oscillation for the second-order equations, researchers began to study the oscillation for the fourth-order equations, see [18][19][20][21][22][23][24][25].…”

New criteria for oscillation of nonlinear neutral differential equations

“…Over this decade, a great amount of work has been done on development the oscillation theory of second order delay and advanced equations, see [3, 4, 9, 11-14, 16, 17, 22], and the oscillation theory of higher order delay equations, see [8,10,18,19,21,[24][25][26]29].…”

Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order

“…There are many results concerning the oscillation of Equations (15) and (22), which include Hille-Nehari types, Philos type, etc. On the basis of [33,34], we have the following corollary, respectively.…”