  We study the average density of resonances, $<\rho(x,y)>$, in a semi-infinite
disordered chain coupled to a perfect lead. The function $<\rho(x,y)>$ is
defined in the complex energy plane and the distance $y$ from the real axes
determines the resonance width. We concentrate on strong disorder and derive
the asymptotic behavior of $<\rho(x,y)>$ in the limit of small $y$.
