Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments

الملخص EN

The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [a(t)[x′′(t)]γ]′=q(t)f(x[τ(t)])+p(t)h(x[σ(t)]).

Both cases ∫∞a−1/γ(s)ds=∞ and ∫∞a−1/γ(s)ds<∞ are considered.

We deduce properties of the studied equations via new comparison theorems.

The results obtained essentially improve and complement earlier ones.