Different techniques for studying oscillatory behavior of solution of differential equations

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)0 + Pij=1 qi(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.