On the Oscillatory Behavior of a Class of Fourth-Order Nonlinear Differential Equation
Osama Moaaz, Poom Kumam, Omar Bazighifan
Abstract
In this work, we study the oscillatory behavior of a class of fourth-order differential equations. New oscillation criteria were obtained by employing a refinement of the Riccati transformations. The new theorems complement and improve a number of results reported in the literature. An example is provided to illustrate the main results.
Topics & Concepts
Complement (music)Class (philosophy)Oscillation (cell signaling)Nonlinear systemOrder (exchange)Differential equationRiccati equationMathematicsDifferential (mechanical device)Applied mathematicsWork (physics)Mathematical analysisComputer sciencePhysicsBiologyThermodynamicsPhenotypeFinanceQuantum mechanicsGeneticsEconomicsChemistryComplementationArtificial intelligenceBiochemistryGeneDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods for differential equations