Oscillation Properties of a Class of Second Order Equations with Variable Coefficients

k=0 βk(t)z(t−σk)+G(z(t), z′(t), z(t)) = F (t). We suppose that n, ñ ∈ N, τi ≥ 0, ∀ i = 0, n and σk ≥ 0, ∀ k = 0, ñ are given constants as well as T ≥ 0 is a large enough constant such that all the functions {θi(t)}i=0, {βk(t)}k=0 and F (t) are of the class C([T,∞);R). Also, G(z′′(t), z′(t), z(t)) ∈ C([T,∞);R). We obtain two types of results: the first is concerned with the monotonicity of the solutions, and the second one is a sufficient condition for the distributions of their zeros.