利用锥映射的不动点指数定理,建立了一类三点边值问题多个正解的存在性定理.改进和推广了文献[1][2]的相关结果.
This paper establishes the existence of multiple positive solutions of a class of nonlinear threepoint boundary value problems by means of the fixed point index theorem on cones. The results presented in this paper essentially improve and generalize the known results.