The magnetic response of a proximity-coupled superconductor-normal-met
al sandwich is studied within the framework of the quasiclassical theo
ry. The magnetization is evaluated for finite values of the applied ma
gnetic field (linear and nonlinear response) at arbitrary temperatures
and is used to fit recent experimental low-temperature data. The hyst
eretic behavior predicted from a Ginzburg-Landau approach and observed
in experiments is obtained within the quasiclassical theory and shown
to exist also outside the Ginzbug-Landau region.