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Summary: Green's Function for an n-point Right
Focal Boundary Value Problem
Doug Anderson
Department of Mathematics and Computer Science, Concordia College
Moorhead, MN 56562, USA
Abstract
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.
1 Preliminaries
In this paper we will be concerned with the operator L defined by
Ly(t) := (-1)n-1
n
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)
with
r-1
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