In this article, a novel fixed point theorem in C[0, 1] space is established by using the properties of fixed point index. This theorem is then applied to prove the existence of positive solutions for three-point boun...In this article, a novel fixed point theorem in C[0, 1] space is established by using the properties of fixed point index. This theorem is then applied to prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results.展开更多
基金This study was supported by National Natural Science Foundation of China (10371068)Science Foundation of Shanxi Province (20041003)
文摘In this article, a novel fixed point theorem in C[0, 1] space is established by using the properties of fixed point index. This theorem is then applied to prove the existence of positive solutions for three-point boundary value problems and generalizes some previous results.