Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation
Osama Moaaz, Emad E. Mahmoud, Wedad R. Alharbi
Abstract
This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. Further, we use several methods to obtain different criteria, so that a larger area of the models can be covered. The examples provided strongly support the importance of the new results.
Topics & Concepts
Oscillation (cell signaling)Delay differential equationIterative methodOrder (exchange)Differential equationApplied mathematicsDifferential (mechanical device)MathematicsThird orderIterative and incremental developmentComputer scienceControl theory (sociology)Mathematical analysisMathematical optimizationPhysicsArtificial intelligenceTheologyPhilosophyThermodynamicsControl (management)Software engineeringEconomicsFinanceBiologyGeneticsNumerical methods for differential equationsDifferential Equations and Numerical MethodsNonlinear Differential Equations Analysis