Summary: Green's Function for an n-point Right
Focal Boundary Value Problem
Department of Mathematics and Computer Science, Concordia College
Moorhead, MN 56562, USA
We determine sufficient conditions for the positivity of the Green's function
for a certain n-point right focal boundary value problem. For n = 3, 4, 5 we see
that positivity depends on the distances between boundary points.
AMS Subject Classification. 39A10.
In this paper we will be concerned with the operator L defined by
Ly(t) := (-1)n-1
y(t - k), (1)
where t, n, and k are from Z (the set of integers), with n 2 and k 1. Then the
n-point right focal boundary value problem that we will consider is given by
Ly(t) = 0, for t Z, (2)