WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Positive Solutions of BVPs for Some Second-Order Four-Point Difference Systems
Authors: ,
Abstract: This paper is concerned with one type of boundary value problems (BVPs). We first construct Green functions for a second-order four-point difference equation, and try to find delicate conditions for the existence of positive solutions. Our main tool is a nonlinear alternative of Leray-Schauder type, krasnosel’skii’s fixed point theorem in a cone and Leggett-Williams fixed point theorem.