Following the flow equations given by Wegner, we study the single impu
rity state in a 2D superconductor with an energy-dependent density of
states. The Anderson model with U=0 has been used to perform analytica
l calculations of the single impurity energy in a superconductor with
different energy spectrum. We showed that the single impurity energy i
s drastically affected by an energy-dependent density of states. For t
he 2D van Hove superconductor the correction is of the order of Delta(
2).