Existence and uniqueness of positive solutions to a class of singular m-point boundary value problems

摘要

This paper investigates the existence and uniqueness of positive solutions to a class of singular m-point boundary value problems of second order ordinary differential equations. A sufficient condition for the existence and uniqueness of C[0,1] positive solutions as well as C1[0,1] positive solutions is given by constructing lower and upper solutions and with the maximal theorem. Our nonlinearity f(t,u) may be singular at u,t=0 and/or t=1.