On Sharp Oscillation Criteria for General Third-Order Delay Differential Equations
Irena Jadlovská, George E. Chatzarakis, Jozef Džurina, Said R. Grace
Abstract
In this paper, effective oscillation criteria for third-order delay differential equations of the form, r2r1y′′′(t)+q(t)y(τ(t))=0 ensuring that any nonoscillatory solution tends to zero asymptotically, are established. The results become sharp when applied to a Euler-type delay differential equation and, to the best of our knowledge, improve all existing results from the literature. Examples are provided to illustrate the importance of the main results.
Topics & Concepts
Delay differential equationOscillation (cell signaling)Differential equationMathematicsOrder (exchange)Third orderZero (linguistics)Mathematical analysisDifferential (mechanical device)Euler's formulaApplied mathematicsPhysicsLawGeneticsEconomicsPolitical sciencePhilosophyLinguisticsBiologyFinanceThermodynamicsNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsAdvanced Mathematical Modeling in Engineering