Work

New iterative criteria for testing the oscillation of solutions of differential equations with distributed deviating arguments

Year: 2025

Type: article

Abstract: The objective of this work was to provide sufficient conditions for testing the oscillatory performance of solutions of the neutral second-order differential equation with distributed deviation arguments. We derived improved relations that influence the oscillation parameters of the equation under study. We used comparison with lower-order equations and Riccati techniques to derive the oscillation parameters. Comparing our findings with earlier pertinent findings allows us to assess the advancements made in oscillation theory. Furthermore, some numerical solutions for a special case of the equation under study are presented, and the numerical and theoretical results are compared.

Source: Electronic Research Archive

DOI: 10.3934/era.2025155

Authors: Adeebah Alofee, Ahmed S. Almohaimeed, Osama Moaaz

Institution: Qassim University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,000

Funder: Qassim University