This work aims to derive new inequalities that improve the asymptotic and oscillatory
properties of solutions to fourth-order neutral differential equations. The relationships …

This study aims at offering a new criterion for the oscillation of the solutions of Emden–
Fowler second-order neutral differential equations. The approach used presents a non …

In this paper, new oscillation criteria for second-order half-linear neutral delay differential
equations are established, using a recently developed method of iteratively improved …

The main objective of our paper is to investigate the oscillatory properties of solutions of
differential equations of neutral type and in the noncanonical case. We follow an approach …

In this work, we investigate the oscillatory properties of the neutral differential equation (r
(l)[(s (l)+ p (l) s (g (l)))′] v)′+∑ i= 1 nqi (l) sv (hi (l))= 0, where s≥ s 0. We first present new …

The aim of the present paper is to continue earlier works by the authors on the oscillation
problem of second-order half-linear neutral delay differential equations. By revising the set …

In this study, a new oscillation criterion for the fourth-order neutral delay differential equation
ruxu+ pux δ u‴ α′+ qux β ϕ u= 0, u≥ u 0 is established. By introducing a Riccati …

In this study, new asymptotic properties of positive solutions of the even-order neutral delay
differential equation with the noncanonical operator are established. The new properties are …

Abstract he present paper studies the optimal control theory of second-order polyhedral
delay discrete and delay differential inclusions with state constraints. We formulate the …

In this article, we test whether solutions of second-order delay functional differential
equations oscillate. The considered equation is a general case of several important …