Stewart C. Welsh, Ph.D.
Office: MCS 483
Professor Welsh received his Ph.D. from University of Glasgow, Scotland in 1985. Currently, Dr. Welsh has been studying sufficient conditions to ensure that the equation F(x, z) = 0, where F: X * R^n --> Y (X, Y are Banach spaces), possesses bifurcation points. More specifically, if F(0, z) = 0, for all z in R^n, then what conditions need to be imposed upon F and the underlying spaces X and Y, in order to guarantee that a branch of nontrivial solutions (F(x,z) = 0, x not zero, Z in R^n) emanates continuously from the so-called trivial solution (0, z0), where z in R^n?