Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 214, pp. 1-13.

Title: Direction of bifurcation for some non-autonomous problems
        
Author: Philip Korman (Univ. of Cincinnati, Ohio, USA)

Abstract:
 We study the exact multiplicity of positive solutions, and the global
 solution structure for several classes of non-autonomous two-point problems.
 We present two situations where the direction of turn can be computed
 rather directly. As an application, we consider a problem from combustion
 theory with a sign-changing potential.  We illustrate our results by
 numerical computations, using a novel method.

Submitted June 28, 2012. Published November 27, 2012.
Math Subject Classifications: 34B15, 65L10, 80A25.
Key Words: Global solution curves; direction of bifurcation;
           continuation in a global parameter.