Some oscillation theorems for nonlinear second-order differential equations with an advanced argument
George E. Chatzarakis, Osama Moaaz, Tao Li, Belgees Qaraad
Abstract
Abstract The objective in this work is to study oscillation criteria for second-order quasi-linear differential equations with an advanced argument. We establish new oscillation criteria using both the comparison technique with first-order advanced differential inequalities and the Riccati transformation. The established criteria improve, simplify and complement results that have been published recently in the literature. We illustrate the results by an example.
Topics & Concepts
MathematicsOscillation (cell signaling)Argument (complex analysis)Complement (music)Ordinary differential equationNonlinear systemOrder (exchange)Applied mathematicsTransformation (genetics)Differential equationDifferential (mechanical device)Partial differential equationWork (physics)Delay differential equationMathematical analysisPhysicsChemistryGeneticsFinanceQuantum mechanicsBiochemistryPhenotypeThermodynamicsGeneComplementationBiologyEconomicsNonlinear Differential Equations AnalysisDifferential Equations and Numerical MethodsDifferential Equations and Boundary Problems