Oscillation Theory for Non-Linear Neutral Delay Differential Equations of Third Order
Osama Moaaz, Ioannis Dassios, Waad Muhsin, Ali Muhib
Abstract
In this article, we study a class of non-linear neutral delay differential equations of third order. We first prove criteria for non-existence of non-Kneser solutions, and criteria for non-existence of Kneser solutions. We then use these results to provide criteria for the under study differential equations to ensure that all its solutions are oscillatory. An example is given that illustrates our theory.
Topics & Concepts
Delay differential equationMathematicsClass (philosophy)Oscillation (cell signaling)Order (exchange)Differential equationLinear differential equationApplied mathematicsOscillation theoryMathematical analysisThird orderComputer scienceExact differential equationEconomicsLawGeneticsArtificial intelligenceFinanceBiologyPolitical scienceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsNumerical methods for differential equations