Work

Second-order nonlinear neutral differential equations with delay term: Novel oscillation theorems

Year: 2025

Type: article

Abstract: This work aims to propose novel criteria to guarantee the oscillation of solutions for second-order differential equations. To analyze the oscillatory characteristics of the studied equation, new necessary conditions are introduced. We used a variety of analysis techniques to support these findings, forming fresh connections to tackle some issues that have impeded earlier studies. As a result, by using the Riccati transformation and the principles of comparison, we were able to acquire results that both expand upon and enhance those found in previous research. Several examples are presented to illustrate the significance of our findings.

Source: AIMS Mathematics

DOI: 10.3934/math.2025330

Author: Saeed Althubiti

Institution: Taif University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funder: Taif University