Neutral delay differential equations: oscillation conditions for the solutions

O Bazighifan, H Alotaibi, AAA Mousa - Symmetry, 2021 - mdpi.com
The purpose of this article is to explore the asymptotic properties for a class of fourth-order
neutral differential equations. Based on a comparison with the differential inequality of the …

New conditions for the oscillation of second-order differential equations with sublinear neutral terms

SS Santra, O Bazighifan, M Postolache - Mathematics, 2021 - mdpi.com
In continuous applications in electrodynamics, neural networks, quantum mechanics,
electromagnetism, and the field of time symmetric, fluid dynamics, neutral differential …

Second-order impulsive delay differential systems: Necessary and sufficient conditions for oscillatory or asymptotic behavior

SS Santra, KM Khedher, O Moaaz, A Muhib, SW Yao - Symmetry, 2021 - mdpi.com
In this work, we aimed to obtain sufficient and necessary conditions for the oscillatory or
asymptotic behavior of an impulsive differential system. It is easy to notice that most works …

New oscillation theorems for second-order differential equations with canonical and non-canonical operator via riccati transformation

SS Santra, AK Sethi, O Moaaz, KM Khedher, SW Yao - Mathematics, 2021 - mdpi.com
In this work, we prove some new oscillation theorems for second-order neutral delay
differential equations of the form (a (ξ)((v (ξ)+ b (ξ) v (ϑ (ξ)))′))′+ c (ξ) G 1 (v (κ (ξ)))+ d (ξ) G …

New aspects for oscillation of differential systems with mixed delays and impulses

SS Santra, KM Khedher, SW Yao - Symmetry, 2021 - mdpi.com
Oscillation and symmetry play an important role in many applications such as engineering,
physics, medicine, and vibration in flight. In this work, we obtain sufficient and necessary …

Controllability for fractional evolution equations with infinite time-delay and non-local conditions in compact and noncompact cases

A Salem, KN Alharbi - Axioms, 2023 - mdpi.com
The goal of this dissertation is to explore a system of fractional evolution equations with
infinitesimal generator operators and an infinite time delay with non-local conditions. It turns …

First-order impulsive differential systems: Sufficient and necessary conditions for oscillatory or asymptotic behavior

SS Santra, D Baleanu, KM Khedher… - Advances in Difference …, 2021 - Springer
In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral
delay impulsive differential systems and establish some new sufficient conditions for …

New Theorems for Oscillations to Differential Equations with Mixed Delays

SS Santra, D Majumder, R Bhattacharjee, O Bazighifan… - Symmetry, 2021 - mdpi.com
The oscillation of differential equations plays an important role in many applications in
physics, biology and engineering. The symmetry helps to deciding the right way to study …

New results on qualitative behavior of second order nonlinear neutral impulsive differential systems with canonical and non-canonical conditions

SS Santra, KM Khedher, K Nonlaopon, H Ahmad - Symmetry, 2021 - mdpi.com
The oscillation of impulsive differential equations plays an important role in many
applications in physics, biology and engineering. The symmetry helps to deciding the right …

Second-order impulsive differential systems with mixed and several delays

SS Santra, A Ghosh, O Bazighifan, KM Khedher… - Advances in Difference …, 2021 - Springer
In this work, we present new necessary and sufficient conditions for the oscillation of a class
of second-order neutral delay impulsive differential equations. Our oscillation results …