Litcius/Paper detail

New Oscillation Criteria for Advanced Differential Equations of Fourth Order

Omar Bazighifan, Hijaz Ahmad, Shao-Wen Yao

2020Mathematics49 citationsDOIOpen Access PDF

Abstract

The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments. The key idea of our approach is to use the Riccati transformation and the theory of comparison with first and second-order delay equations. Four examples are provided to illustrate the main results.

Topics & Concepts

Oscillation (cell signaling)Class (philosophy)Differential equationOrder (exchange)MathematicsApplied mathematicsTransformation (genetics)Riccati equationDifferential (mechanical device)Delay differential equationKey (lock)Mathematical analysisCalculus (dental)Computer sciencePhysicsEconomicsMedicineDentistryGeneComputer securityThermodynamicsArtificial intelligenceFinanceBiochemistryBiologyGeneticsChemistryDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNeural Networks Stability and Synchronization