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Kamenev and Philos-types oscillation criteria for fourth-order neutral differential equations

Omar Bazighifan

2020Advances in Difference Equations42 citationsDOIOpen Access PDF

Abstract

Abstract This work is concerned with the oscillatory behavior of solutions of fourth-order neutral differential equations. By using the Riccati transformation and integral averaging techniques we obtain some new Kamenev-type and Philos-type oscillation criteria. Our results extend and improve some known results in the literature. An example is given to illustrate our main results.

Topics & Concepts

MathematicsOrdinary differential equationOscillation (cell signaling)Type (biology)Partial differential equationOrder (exchange)Transformation (genetics)Differential equationApplied mathematicsWork (physics)Riccati equationDifferential (mechanical device)Mathematical analysisPhysicsBiologyChemistryBiochemistryThermodynamicsGeneticsFinanceEcologyGeneEconomicsNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsFractional Differential Equations Solutions
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