New Comparison Theorems for the Nth Order Neutral Differential Equations with Delay Inequalities
Osama Moaaz, Shigeru Furuichi, Ali Muhib
Abstract
In this work, we present a new technique for the oscillatory properties of solutions of higher-order differential equations. We set new sufficient criteria for oscillation via comparison with higher-order differential inequalities. Moreover, we use the comparison with first-order differential equations. Finally, we provide an example to illustrate the importance of the results.
Topics & Concepts
Order (exchange)Oscillation (cell signaling)MathematicsDelay differential equationDifferential equationDifferential (mechanical device)Set (abstract data type)Applied mathematicsWork (physics)Class (philosophy)InequalityMathematical analysisComputer sciencePhysicsThermodynamicsEconomicsChemistryBiochemistryFinanceArtificial intelligenceProgramming languageDifferential Equations and Boundary ProblemsNonlinear Differential Equations AnalysisDifferential Equations and Numerical Methods