Multiple positive solutions for singular multi-point boundary-value problems with a positive parameter

Abstract

In this article we study the existence, nonexistence, and multiplicity of positive solutions for a singular multi-point boundary value problem with positive parameter. We use the fixed point index theory on a cone and a well-known theorem for the existence of a global continuum of solutions to establish our results.

Keywords

• Singular problem
• multi-point boundary value problems
• positive solution
• p-Laplacian
• multiplicity