Existence of multiple positive solutions for $m$-point boundary value problems in Banach spaces

Abstract

This paper deals with the positive solutions of $m$-point nonlinear boundary value problem in Banach spaces. By using the fixed-point theorem of strict-set-contractions, some sufficient conditions for the existence of at least one or two positive solutions to $m$-point boundary value problem in Banach spaces are obtained. An example illustrating the main results is given.