Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations
Omar Bazighifan, Ioannis Dassios
Abstract
In this paper, we deal with the oscillation of fourth-order nonlinear advanced differential equations of the form r t y ‴ t α ′ + p t f y ‴ t + q t g y σ t = 0 . We provide oscillation criteria for this type of equations, and examples to illustrate the criteria.
Topics & Concepts
Oscillation (cell signaling)Order (exchange)Differential equationNonlinear systemMathematicsRiccati equationMathematical analysisApplied mathematicsDifferential (mechanical device)PhysicsQuantum mechanicsEconomicsFinanceGeneticsBiologyThermodynamicsDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods for differential equations