Multiple Symmetric Solutions for Discrete Lidstone Boundary Value Problems

Abstract

We offer criteria for the existence of single, double and multiple positive symmetric solutions for the boundary value problem ▵2m y(k-m)= f(y(k), ▵²y(k-1)….,▵SUP>2i y(k-i),…,▵2(m-1) y(k-(m-1))), k∈{a+1,…,b+1} ▵2i y(a+1-m)=▵2i y(b+1+m-2i)=0, 0≤i≤m-1 where m ≥ 1 and (-1)m f can either be positive or the condition can be relaxed.