The parameter imbedding method for the Fredholm equation converts it i
nto an initial value problem in its parameter lambda. The method is es
tablished for general operator equations of the form [I+($) over cap f
(lambda)]psi=phi. It is particularly useful for studying spontaneous s
ymmetry breaking problems such as contained in the nonlinear Schwinger
-Dyson equation. (C) 1994 American Institute of Physics.