Multiple positive solutions for a fourth-order boundary value problem

Abstract

In this paper, we discuss the existence of multiple positive solutions for the fourth-order boundary value problem u(4)(t) = f(t, u(t)), 0 < t < 1, u(0) = u(1) = u''(0) = u''(1) = 0, where f : [0, ∞] × [0,1) → [0,1) is continuous. Existence theorems are established via the theory of fixed point index in cones. © SPM.