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.
DOI: *As the DOI is a unique identifier, it is already available in the pdf version. **The DOI link will be activated in the first midst of January 2026.
Yitao Yang, Fanwei Meng, "Positive Solutions of BVPs for Some Second-Order Four-Point Difference Systems," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Yitao Yang, Fanwei Meng. Positive Solutions of BVPs for Some Second-Order Four-Point Difference Systems.
WSEAS Transactions on Mathematics. 2012;11:-.