Oscillation Criteria for a Class of Certain Half-linear Emden-Fowler Functional Differential Equations of Neutral Type

摘要

Some oscillation criteria for the half-linear Emden-Fowler functional differential equations of neutral type of the form (r(t)|z'(t)|~(α-1) z'(t))' + q(t)|x(σ(t))|~(β-1) x(σ(t)) = e(t), t ≥ t_0 are established, where z(t) = x(t) + p(t)x(τ(t)), α > 0, β > 0 are arbitrary constants, some earlier results are the special cases of ours since the function e(t) is introduced to the equation.