  The equation for the gluon propagator in the approach of
Baker-Ball-Zachariasen is considered. The possibility of non-integer power
infrared behaviour is studied, $D(q) \sim (q^2)^{-c}$, $q^2 \rightarrow 0$. It
is shown that the characteristic equation for the exponent has no solutions at
$-1\leq c\leq 3$. The approximations made to obtain the closed integral
equation are analysed and the conclusion on the infrared behaviour of the gluon
propagator $D(q) \sim 1/(q^2)^2$, $q^2 \rightarrow 0$ is made when the
transverse part of the triple gluon vertex is taken into account.
