Extended Approach to the Asymptotic Behavior and Symmetric Solutions of Advanced Differential Equations

We studied the asymptotic behavior of fourth-order advanced differential equations of the ( form a(υ)(w′′′ (υ))β)′ + q(υ)g(w(δ(υ))) = 0. New results are presented for the oscillatory behavior of these equations in the form of Philos-type and Hille–Nehari oscillation criteria. Some illustrative examples are presented.