EXISTENCE OF POSITIVE SYMMETRIC SOLUTIONS FOR A CLASS OF SINGULAR SECOND ORDER THREE-POINT BOUNDARY VALUE PROBLEMS

Abstract

In this paper, by applying the Guo-Krasnosel'skii fixed point theorem and some fixed index theorem we study the existence of positive symmetric solutions for a class of singular second-order three-point boundary value problems. The nonlinear term may be singular at t = 0, 1 and can be allowed to change sign.