Global structure of positive solutions for a class of nonlinear second-order discrete three-point boundary value problems

Abstract:

In this paper, we study the global structure of positive solutions for a class of nonlinear second-order difference equation with three-point boundary value problems. Applying the fixed point index theory on cone and connectivity properties of the solution set, the global structure of positive solutions is obtained under the conditions that the nonlinear term satisfies the superlinear growth and the sublinear growth respectively.