Positive solutions for second-order multi-point boundary-value problems at resonance in Banach spaces

Abstract

In this article, we study the existence and multiplicity of positive solutions for a nonlinear second-order multi-point boundary-value problem at resonance in Banach spaces. The arguments are based upon a specially constructed equivalent equation and the fixed point theory in a cone for strict set contraction operators.

Keywords

• Banach space
• positive solution
• strict set contraction
• boundary value problem