  We consider fourth order ordinary differential operator with compactly
supported coefficients on the line. We determine asymptotics of the number of
resonances in complex discs at large radius. We consider resonances of an
Euler-Bernoulli operator on the real line with the positive coefficients which
are constants outside some finite interval. We show that the Euler-Bernoulli
operator has no eigenvalues and resonances iff the positive coefficients are
constants on the whole axis.
