We consider supersymmetric models in 5-dimensional space-time compactified
on S-1/Z(2) orbifold. where N = 2 supersymmetry is explicitly broken down t
o N = 1 by the orbifold projection. We find that the residual N = 1 supersy
mmetry is broken spontaneously by a stable classical wall-like field config
urations which can appear even in the simple models discussed. We also cons
ider some simple models of bulk fields interacting with those localized on
the 4-dimensional boundary wall where N = 1 supersymmetry can survive in a
rather non-trivial way. (C) 2001 Published by Elsevier Science B.V.