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On the Asymptotic Behavior of a Class of Second-Order Non-Linear Neutral Differential Equations with Multiple Delays

Shyam Sundar Santra, Ioannis Dassios, Tanusri Ghosh

2020Axioms18 citationsDOIOpen Access PDF

Abstract

In this work, we present some new sufficient conditions for the oscillation of a class of second-order neutral delay differential equation. Our oscillation results, complement, simplify and improve recent results on oscillation theory of this type of non-linear neutral differential equations that appear in the literature. An example is provided to illustrate the value of the main results.

Topics & Concepts

Oscillation (cell signaling)Complement (music)Class (philosophy)MathematicsDifferential equationDelay differential equationOrder (exchange)Linear differential equationMathematical analysisWork (physics)Differential (mechanical device)Applied mathematicsPhysicsComputer scienceGeneticsPhenotypeEconomicsComplementationBiochemistryArtificial intelligenceGeneThermodynamicsChemistryBiologyFinanceNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsAdvanced Mathematical Modeling in Engineering