Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 55, pp. 1-10.
Title: Positive solutions of a boundary value problem with
integral boundary conditions
Author: Jeff R. L. Webb (Univ. of Glasgow, UK)
Abstract:
We consider boundary-value problems studied in a recent paper.
We show that some existing theory developed by Webb and
Infante applies to this problem and we use the known
theory to show how to find improved estimates on parameters
$\mu^*, \lambda^*$ so that some nonlinear differential
equations, with nonlocal boundary conditions of integral type,
have two positive solutions for all $\lambda$ with
$\mu^*< \lambda < \lambda^*$.
Submitted February 25, 2011. Published May 02, 2011.
Math Subject Classifications: 34B10, 34B15, 34B18.
Key Words: Nonlocal boundary conditions; positive solution.