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New Sufficient Conditions for Oscillation of Second-Order Neutral Delay Differential Equations

Taher S. Hassan, Osama Moaaz, Amany Nabih, Mouataz Billah Mesmouli, A. M. A. El‐Sayed

2021Axioms19 citationsDOIOpen Access PDF

Abstract

In this work, new sufficient conditions for the oscillation of all solutions of the second-order neutral delay differential equations with the non-canonical operator are established. Using a generalized Riccati substitution, we obtained criteria that complement and extend some previous results in the literature.

Topics & Concepts

Oscillation (cell signaling)Complement (music)MathematicsDelay differential equationOrder (exchange)Differential equationWork (physics)Riccati equationOperator (biology)Mathematical analysisDifferential (mechanical device)Applied mathematicsPhysicsThermodynamicsBiologyTranscription factorBiochemistryFinanceEconomicsGeneticsGeneComplementationChemistryPhenotypeRepressorDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods for differential equations