Douglas R. Anderson, Tyler O. Anderson, Mathew M. Kleber
Abstract:
We determine Green's function for a third-order three-point
boundary-value problem of focal type and determine conditions
on the coefficients and boundary points to ensure its positivity.
We then apply this in the determination of the existence of
positive solutions to a related higher-order functional
differential equation.
Submitted November 28, 2005. Published January 26, 2006.
Math Subject Classifications: 34B10, 34B18, 34B27.
Key Words: Multiple solutions; boundary value problems; Green's
function; third order differential equation
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Douglas R. Anderson Department of Mathematics and Computer Science Concordia College Moorhead, MN 56562 USA email: andersod@cord.edu |
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Tyler O. Anderson Department of Mathematics and Computer Science Concordia College Moorhead, MN 56562 USA email: toanders@cord.edu |
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Mathew M. Kleber Department of Mathematics and Computer Science Concordia College Moorhead, MN 56562 USA email: mmkleber@cord.edu |
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