Throughout positive solutions of second-order nonlinear differential equations

Abstract

In this paper, we consider the second-order nonlinear and the nonlinear neutral functional differential equations (α(t)x'(t))' + ƒ(t, x(g(t))) = 0, t ≥ t0 (α(t)(x(t) - p(t)x(t - τ))')' + ƒ(t, x(g(t))) = 0, t ≥ t0. Using the Banach contraction mapping principle, we obtain the existence of throughout positive solutions for the above equations.