A Study of the Monotonic Properties of Solutions of Neutral Differential Equations and Their Applications

In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and asymptotic behaviour of the solutions to delay dif...

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Bibliographic Details
Main Authors: Osama Moaaz, Abtehal E. Alhgilan
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/12/4/346
Description
Summary:In this paper, we aim to study the monotonic properties of the solutions of a class of neutral delay differential equations. The importance of this study lies in the fact that the monotonic properties largely control the study of the oscillation and asymptotic behaviour of the solutions to delay differential equations. Then, by using the new properties, we create improved criteria for testing the oscillation of solutions to the studied equation. We also find new criteria that can be applied more than once. Moreover, we discuss the importance and novelty of the results through the application to a special case of the studied equation.
ISSN:2075-1680