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Improved Conditions for Oscillation of Functional Nonlinear Differential Equations

Omar Bazighifan, Mihai Postolache

2020Mathematics29 citationsDOIOpen Access PDF

Abstract

The aim of this work is to study oscillatory properties of a class of fourth-order delay differential equations. New oscillation criteria are obtained by using generalized Riccati transformations. This new theorem complements and improves a number of results reported in the literature. Some examples are provided to illustrate the main results.

Topics & Concepts

Oscillation (cell signaling)Class (philosophy)Nonlinear systemMathematicsDifferential equationDifferential (mechanical device)Delay differential equationApplied mathematicsRiccati equationOrder (exchange)Work (physics)Mathematical analysisComputer sciencePhysicsEconomicsArtificial intelligenceFinanceBiologyQuantum mechanicsGeneticsThermodynamicsNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsFractional Differential Equations Solutions
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