Investigation of the Oscillatory Properties of Solutions of Differential Equations Using Kneser-Type Criteria

This study investigates the oscillatory properties of a fourth-order delay functional differential equation. This study’s methodology is built around two key tenets. First, we propose optimized relationships between the solution and its derivatives by making use of some improved monotonic features....

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Bibliographic Details
Main Authors: Yousef Alnafisah, Osama Moaaz
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/9/876
Description
Summary:This study investigates the oscillatory properties of a fourth-order delay functional differential equation. This study’s methodology is built around two key tenets. First, we propose optimized relationships between the solution and its derivatives by making use of some improved monotonic features. By using a comparison technique to connect the oscillation of the studied equation with some second-order equations, the second aspect takes advantage of the significant progress made in the study of the oscillation of second-order equations. Numerous applications of functional differential equations of the neutral type served as the inspiration for the study of a subclass of these equations.
ISSN:2075-1680