Positive Solutions to a BVP with Two Integral Boundary Conditions

Abstract

Based on the Guo-Krasnoselskii's fixed-point theorem, the existence and multiplicity of positive solutions to a boundary value problem (BVP) with two integral boundary conditions

are obtained, where $f$, $g_1$, $g_2$ are all continuous. It generalizes the results of one positive solution to multiplicity and improves some results for integral BVPs. Moreover, some examples are also included to demonstrate our results as applications.