ON GLOBAL STRUCTURE OF A CLASS OF SINGULAR BOUNDARY VALUE PROBLEMS WITH SUBLINEAR EFFECT

Abstract

This paper investigates a class of singular boundary value problems with sublinear effect. Some criteria are established for the existence of an unbounded continuum of positive solution set and the behavior of solutions according to parameter lambda. It is shown that there is at least one positive solution for every lambda> 0. An example is also worked out to demonstrate the main result.