Triple positive solutions of BVP for second order ODE with one dimensional Laplacian on the half line

Abstract

By applying Leggett-Williams fixed point theorem in a suitably constructed cone, we obtain the existence of at least three bounded positive solutions for a boundary value problem on the half line. Our result improves and complements some of the work in the literature.

Keywords

• second order differential equation on a half line
• non-homogeneous boundary value problem
• leggett-williams fixed point theorem