Different techniques for studying oscillatory behavior of solution of differential equations
Omar Bazighifan, Rami Ahmad El‐Nabulsi
Abstract
The aim of this work is to study oscillatory behavior of solutions for a fourth-order neutral nonlinear differential equation (b(x)(wm−1(x))γ)′+ ∑i=1jqi(x)f(w(gi(x)))=0, x≥x0. The results obtained are based on the Riccati transformation, integral averaging technique and the theory of comparison with second-order delay equations. The obtained results complements and generalize the earlier ones. Some examples are illustrated to show the applicability of the obtained results.
Topics & Concepts
MathematicsRiccati equationNonlinear systemDifferential equationMathematical analysisOrder (exchange)Transformation (genetics)Work (physics)Differential (mechanical device)Applied mathematicsThermodynamicsPhysicsGeneEconomicsFinanceChemistryQuantum mechanicsBiochemistryDifferential Equations and Numerical MethodsNonlinear Differential Equations AnalysisNumerical methods for differential equations