New Results for Oscillatory Behavior of Fourth-Order Differential Equations
Rami Ahmad El‐Nabulsi, Osama Moaaz, Omar Bazighifan
Abstract
Our aim in the present paper is to employ the Riccatti transformation which differs from those reported in some literature and comparison principles with the second-order differential equations, to establish some new conditions for the oscillation of all solutions of fourth-order differential equations. Moreover, we establish some new criterion for oscillation by using an integral averages condition of Philos-type, also Hille and Nehari-type. Some examples are provided to illustrate the main results.
Topics & Concepts
Oscillation (cell signaling)MathematicsDifferential equationTransformation (genetics)Order (exchange)Type (biology)Differential (mechanical device)Applied mathematicsMathematical analysisPhysicsThermodynamicsChemistryBiologyEconomicsEcologyGeneBiochemistryFinanceDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisFractional Differential Equations Solutions