%0 Journal Article %T Direction of bifurcation for some non-autonomous problems %A Philip Korman %J Electronic Journal of Differential Equations %D 2012 %I Texas State University %X 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. %K Global solution curves %K direction of bifurcation %K continuation in a global parameter %U http://ejde.math.txstate.edu/Volumes/2012/214/abstr.html