Work

Investigating Oscillatory Behavior in Third-Order Neutral Differential Equations with Canonical Operators

Year: 2024

Type: article

Abstract: In this study, we aim to set new criteria regarding the asymptotic behavior of the neutral differential equation of the third order. These criteria are designed to ensure that this equation is oscillatory using comparisons with first-order differential equations and Riccati substitution. The results we obtained improve some of the results found in the literature. Some examples are provided to illustrate the applicability of our results and compare them with results found in some previous studies.

Source: Mathematics

DOI: 10.3390/math12162488

Authors: Abdulaziz Khalid Alsharidi, Ali Muhib

Institutions: King Faisal University, Mansoura University, Ibb University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

Funders: Deanship of Scientific Research, King Faisal University, King Faisal University