  We formulate and discuss generalized bootstrap equations in nonabelian gauge
theories. They are shown to hold in the leading logarithmic approximation.
Since their validity is related to the self-consistency of the Steinmann
relations for inelastic production amplitudes they can be expected to be valid
also in NLO. Specializing to the N=4 SYM, we show that the validity in NLO of
these generalized bootstrap equations allows to find the NLO Odderon solution
with intercept exactly at one, a result which is valid also for the planar
limit of QCD.
