Almost oscillatory solutions to second order neutral differential equations with piecewise constant argument

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Authors: Sora Ali Majeed, Hussain Ali Mohamad
Cited by: 0
References: 9

Abstract

The oscillation of differential equations with a segmented constant term and distributed neutral delay is our focus in this research. Regarding the oscillation of the linear differential equation of first order, we provide additional criteria that ensure the oscillation of the second-order differential equation. We derive fresh conclusions on the oscillation for the examined equation. The outcomes significantly outperform and expand upon the earlier studies. Finding the right solutions for neutral differential equations involves the second derivative. The piecewise constant in that equation has been represented by the greatest integer function. We present some instances to illustrate the importance of our findings.

Fields of Study & Subjects

Nonlinear Differential Equations Analysis Advanced Differential Equations and Dynamical Systems Meromorphic and Entire Functions

Publication details

Journal / source
AIP conference proceedings
Volume
3393
Pages
070013–070013
Publication date
1 January 2026
Language
EN