SHARP ASYMPTOTIC RESULTS FOR THIRD-ORDER LINEAR DELAY DIFFERENTIAL EQUATIONS
John R. Graef, Irena Jadlovská, Ercan Tunç
Abstract
<abstract> In the paper, the authors propose an effective Kneser-type oscillation test for Property A for linear third-order delay differential equations that ensures that any nonoscillatory solution converges to zero asymptotically. The result is sharp when applied to Euler-type delay differential equation and improves all existing results reported in the literature. </abstract>
Topics & Concepts
Delay differential equationMathematicsMathematical analysisDifferential equationThird orderOscillation (cell signaling)Order (exchange)Applied mathematicsFinanceGeneticsPhilosophyTheologyBiologyEconomicsNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsAdvanced Mathematical Modeling in Engineering