Green's function and existence of solutions for a functional focal differential equation
Date
2006-01-26
Authors
Anderson, Douglas R.
Anderson, Tyler O.
Kleber, Mathew M.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Multiple solutions, Boundary value problems, Green's function, Third order differential equation
Citation
Anderson, D. R., Anderson, T. O., & Kleber, M. M. (2006). Green's function and existence of solutions for a functional focal differential equation. <i>Electronic Journal of Differential Equations, 2006</i>(12), pp. 1-14.
Rights
Attribution 4.0 International