MULTIPLE POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY VALUE PROBLEM WITH SUPERLINEAR TERM, SUBLINEAR TERM, INCREASING TERM AND DECREASING TERM

Abstract

Under certain conditions, by constructing a special cone and fixed point theorems of cone expansion and cone compression, we research a class of second order three-point boundary value problems. Some sufficient conditions for the existence of twin C[0, 1] positive solutions as well as the existence of twin C1[0, 1] positive solutions are obtained.