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