On Higher order Generalized Emdem-Fowler Differential Equations with Delay Argument

In this work the differential equation with deviating argument is investigated, u^((n)) (t)+〖p(t)|u(τ(t))|〗^μ(t) sign u(τ(t))=0, where, n≥3, pєL_loc (R_+,R_+), μ∈C(R_+;(0;+∞)),τ∈C(R_+,R_+), τ(t)≤t for t∈R_+ and lim┬(t→+∞)⁡τ(t) =+∞. Sufficient conditions are established for a nonlinear functional differential equations to have Property B.