Neutral Delay Differential Equations: Oscillation Conditions for the Solutions
Omar Bazighifan, Hammad Alotaibi, Abd Allah A. Mousa
Abstract
The purpose of this article is to explore the asymptotic properties for a class of fourth-order neutral differential equations. Based on a comparison with the differential inequality of the first-order, we have provided new oscillation conditions for the solutions of fourth-order neutral differential equations. The obtained results can be used to develop and provide theoretical support for and to further develop the study of oscillation for a class of fourth-order neutral differential equations. Finally, we provide an illustrated example to demonstrate the effectiveness of our new criteria.
Topics & Concepts
Oscillation (cell signaling)Differential equationDelay differential equationClass (philosophy)Order (exchange)MathematicsDifferential (mechanical device)Applied mathematicsMathematical analysisComputer sciencePhysicsThermodynamicsGeneticsFinanceArtificial intelligenceEconomicsBiologyNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems