EXISTENCE AND INCOMPARABILITY OF POSITIVE SOLUTIONS FOR SECOND ORDER THREE-POINT SUPERLINEAR DIFFERENTIAL EQUATIONS

Abstract

This paper investigates a class of boundary value problems for second order singular three-point superlinear differential equations using the fixed point theorem of cone expansion of norm type. A sufficient condition and a necessary condition for C1[0, 1] positive solutions are obtained. We also investigate the incomparability of C1[0, 1] positive solutions.