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 …

[PDF][PDF] Oscillation criteria for second-order neutral delay differential equations

M Bohner, S Grace, I Jadlovská - Electronic Journal of …, 2017 - kurims.kyoto-u.ac.jp
New sufficient conditions for oscillation of second-order neutral half-linear delay differential
equations are given. Our results essentially improve, complement and simplify a number of …

[HTML][HTML] Oscillation of second-order nonlinear noncanonical differential equations with deviating argument

B Baculikova - Applied Mathematics Letters, 2019 - Elsevier
The purpose of this paper is to study the second-order nonlinear noncanonical differential
equation r (t) y′(t)′+ p (t) f (y (τ (t)))= 0 under the condition∫∞ 1 r (t) dt<∞. Contrary to …

An improved approach for studying oscillation of generalized Emden–Fowler neutral differential equation

O Moaaz, EM Elabbasy, B Qaraad - Journal of Inequalities and …, 2020 - Springer
The purpose of this work is to study the oscillation criteria for generalized Emden–Fowler
neutral differential equation. We establish new oscillation criteria using both the technique of …

[PDF][PDF] Oscillatory behavior of the second order noncanonical differential equations

B Baculíková - Electronic Journal of Qualitative Theory of Differential …, 2019 - real.mtak.hu
Oscillatory behavior of the second order noncanonical differential equations Page 1 Electronic
Journal of Qualitative Theory of Differential Equations 2019, No. 89, 1–11; https://doi.org/10.14232/ejqtde.2019.1.89 …

Oscillation criteria for advanced half-linear differential equations of second order

TS Hassan, Q Kong, BM El-Matary - Mathematics, 2023 - mdpi.com
In this paper, we find new oscillation criteria for second-order advanced functional half-linear
differential equations. Our results extend and improve recent criteria for the same equations …

Neutral Differential Equations of Second-Order: Iterative Monotonic Properties

O Moaaz, F Masood, C Cesarano, SAM Alsallami… - Mathematics, 2022 - mdpi.com
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 …

Improved oscillation results for second-order half-linear delay differential equations

GE Chatzarakis, I Jadlovská - Hacettepe journal of mathematics …, 2019 - dergipark.org.tr
In this paper, we study the second-order half-linear delay differential equation of the form
(r(t)(y'(t))^α)'+q(t)y^α(τ(t))=0.\:\:\:(E) We establish new oscillation criteria for (E), which …

Asymptotic behavior of even-order noncanonical neutral differential equations

O Moaaz, A Muhib, T Abdeljawad… - Demonstratio …, 2022 - degruyter.com
In this article, we study the asymptotic behavior of even-order neutral delay differential
equation (a⋅(u+ ρ⋅ u∘ τ)(n− 1))′(ℓ)+ h (ℓ) u (g (ℓ))= 0, ℓ≥ ℓ 0, where n≥ 4, and in …

On the sharp oscillation criteria for half-linear second-order differential equations with several delay arguments

GE Chatzarakis, SR Grace, I Jadlovská - Applied Mathematics and …, 2021 - Elsevier
In the paper, we offer a qualitatively unimprovable oscillation result for half-linear several
delay second-order differential equations, which improves and generalizes the one from the …