Positive solutions for a second-order difference equation with summation boundary conditions

Abstract

Abstract. In this article we study the existence of positive solutions for a secondorder difference equation with summation boundary conditions. The main tool employed here is the Krasnoselskii's fixed point theorem in a cone.

Positive periodic solutions of second-order nonlinear neutral differential equations with variable coefficients

“…Remark 4.1. Notice that S in this section is defined exactly the same as that in (5). Hence Lemma 3.4 still holds true.…”

“…Suppose that (H1) and (H2) hold. If S is given by (5), then the operator S : C ω → C ω is a contraction.…”