Abstract
The system of boundary layer equations of unsteady axisymmetric flow of incompressible fluid in the presence of blowing or suction through the boundary surface of a body is considered. Proof is given of the existence and uniqueness of a timeperiodic solution of such system in the neighborhood of the critical point (forced oscillations), when the external flow is periodic with respect to time and the functions defining the body shape and the blowing or suction conditions are known. This problem was considered in detail in [1] for specific initial conditions (as a whole dependent on t), where, in particular, data on the stability of such flows are presented.
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