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POSITIVITY OF GREEN'S FUNCTION FOR AN n-POINT RIGHT FOCAL
 

Summary: POSITIVITY OF GREEN'S FUNCTION
FOR AN n-POINT RIGHT FOCAL
BOUNDARY VALUE PROBLEM ON
MEASURE CHAINS
Douglas Anderson
Department of Mathematics and Computer Science
Concordia College
Moorhead, MN 56562
andersod@cord.edu
Abstract
We determine sufficient conditions for the positivity of Green's function for
an n-point right focal boundary value problem on measure chains whose forward
jump operator is delta differentiable. For n = 3, 4 and various measure chains
we see that positivity depends on the distances between boundary points.
Key words: measure chains, Green's function.
AMS Subject Classification. 39A10.
1 INTRODUCTION
Define the operator L by
Lx(t) := (-1)n-1
xn

  

Source: Anderson, Douglas R. - Department of Mathematics and Computer Science, Concordia College

 

Collections: Mathematics