The paper deals with the acceleration of electrons at a nearly perpend
icular curved shock wave and results are compared with the case of a p
lane shock wave. We formulate the equations of motion of an electron i
n adiabatic approximation and solve them in a special case. The result
s show that the energy gain of reflected electrons at a curved shock d
epends on the ratio of the radius of curvature to the shock thickness;
for a low ratio the energy gain is significantly lower than at a plan
e shock, while the energy gain of transmitted electrons is approximate
ly the same as at a plane shock. The analytical solution provides a to
ol for direct calculations of fluxes of accelerated electrons near the
curved shock of given parameters.