Oscillation criteria for second‐order Emden–Fowler delay differential equations with a sublinear neutral term

J Džurina, SR Grace, I Jadlovská… - Mathematische …, 2020 - Wiley Online Library
New oscillation criteria for the second‐order Emden–Fowler delay differential equation with
a sublinear neutral term are presented. An essential feature of our results is that oscillation …

An improved approach for studying oscillation of second-order neutral delay differential equations

SR Grace, J Džurina, I Jadlovská, T Li - Journal of inequalities and …, 2018 - Springer
The paper is devoted to the study of oscillation of solutions to a class of second-order half-
linear neutral differential equations with delayed arguments. New oscillation criteria are …

Oscillation criteria for even-order neutral differential equations with distributed deviating arguments

O Moaaz, EM Elabbasy, A Muhib - Advances in Difference Equations, 2019 - Springer
In this work, new conditions are obtained for the oscillation of solutions of the even-order
equation (r (ζ) z (n− 1)(ζ))′+∫ abq (ζ, s) f (x (g (ζ, s))) ds= 0, ζ≥ ζ 0,\bigl (r (ζ) z^(n …

Some oscillation theorems for nonlinear second-order differential equations with an advanced argument

GE Chatzarakis, O Moaaz, T Li, B Qaraad - Advances in Difference …, 2020 - Springer
The objective in this work is to study oscillation criteria for second-order quasi-linear
differential equations with an advanced argument. We establish new oscillation criteria …

Sharp oscillation criteria for second‐order neutral delay differential equations

M Bohner, SR Grace, I Jadlovská - Mathematical Methods in …, 2020 - Wiley Online Library
This paper is a continuation of a recent work by the authors on the oscillatory properties of
second‐order half‐linear neutral delay differential equations. Providing a new apriori bound …

Oscillation of higher-order differential equations with distributed delay

O Bazighifan, EM Elabbasy, O Moaaz - Journal of Inequalities and …, 2019 - Springer
This paper deals with the oscillation properties of higher-order nonlinear differential
equations with distributed delay b (ℓ)(y (n− 1)(ℓ)) γ′+∫ cdq (ℓ, ξ) y γ (g (ℓ, ξ)) d (ξ)= 0, ℓ≥ ℓ …

New criteria for sharp oscillation of second-order neutral delay differential equations

I Jadlovská - Mathematics, 2021 - mdpi.com
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 …

New criteria for oscillation of nonlinear neutral differential equations

O Moaaz - Advances in Difference Equations, 2019 - Springer
The aim of this work is to offer sufficient conditions for the oscillation of neutral differential
equation second order (r (t)(y (t)+ p (t) y (τ (t)))′ γ)′+ f (t, y (σ (t)))= 0,\bigl (r (t)\bigl\bigl (y …

Oscillation of second-order Emden–Fowler neutral delay differential equations

RP Agarwal, M Bohner, T Li, C Zhang - Annali di Matematica Pura ed …, 2014 - Springer
We establish some new criteria for the oscillation of second-order Emden–Fowler neutral
delay differential equations. We study the case of superlinear and the case of sublinear …

Oscillation and asymptotic behavior of third-order neutral differential equations with distributed deviating arguments

Y Tian, Y Cai, Y Fu, T Li - Advances in Difference Equations, 2015 - Springer
By employing a generalized Riccati transformation and integral averaging technique, two
Philos-type criteria are obtained which ensure that every solution of a class of third-order …