A simplified oscillation criterion for second-order neutral differential equations in the nonlinear case
Abstract
This work investigates the oscillatory behavior of neutral differential equations in the compulsory nonlinear case. We consider the noncanonical situation and establish a multi-condition criterion that is an extension of previous non-neutral results. We then present a new simplified single-condition criterion that guarantees the oscillation of all solutions. Some examples are used to illustrate the effectiveness of the new criterion.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Advanced Differential Equations and Dynamical Systems
Meromorphic and Entire Functions
Publication details
- Journal / source
- Applied Mathematics in Science and Engineering
- Volume
- 34
- Issue
- 1
- Publication date
- 5 February 2026
- Language
- EN