Existence of positive solution for fully third-order boundary value problems.

In this paper, we are concerned with the existence of positive solutions of the fully third-order boundary value problem ..., where f: [0, 1] x ℝ+ x ℝ+ x ℝ → ℝ is continuous. Some inequality conditions on f to guarantee the existence of positive solution are presented. These inequality conditions allow that f (t, x, y, z) may be superlinear or sublinear growth on x, y and z as |(x, y, z)| → 0 and |(x, y, z)| → ∞. [ABSTRACT FROM AUTHOR]