Special Session 23: Topological and Variational Methods for Differential Equations

Green`s functions for a two-term boundary value problem

Jeffrey T Neugebauer
Eastern Kentucky University
USA
Co-Author(s):    Justin Bowman, Paul Eloe
Abstract:
In this talk, we study the Green`s function corresponding to the boundary value problem $y``-p(t) y=h(t)$, $y(0)-y(1)=0$, $ay`(0)+ y`(1)=0$, where $a0$ on $[0,1]$, where $p$ is chosen so the boundary value problem is not at resonance. We obtain sign properties and comparison results for the Green`s function without constructing the Green`s function.