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 …

On nonlinear impulsive differential systems with canonical and non-canonical operators

M Ruggieri, SS Santra, A Scapellato - Applicable Analysis, 2023 - Taylor & Francis
The investigation on the oscillatory and asymptotic properties of differential equations plays
an important role in many applications, such as engineering, physics and medicine. In this …

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 …

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 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 …

Oscillation of second-order differential equations with multiple and mixed delays under a canonical operator

SS Santra, RA El-Nabulsi, KM Khedher - Mathematics, 2021 - mdpi.com
In this work, we obtained new sufficient and necessary conditions for the oscillation of
second-order differential equations with mixed and multiple delays under a canonical …

Oscillatory Solutions to Neutral Delay Differential Equations

F Alsharari, O Bazighifan, TA Nofal, KM Khedher… - Mathematics, 2021 - mdpi.com
This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler
neutral delay differential equations with neutral term β 1 ı Φ α [ζ r− 1 ı]′+ β 3 ı Φ α [ς ξ ı]= 0 …