Solving the Inverse Mixed Boundary-Value Problem of Aerohydrodynamics in a New Statement

We consider the following inversemixed boundary-value problem of aerohydrodynamics. It is required to find a form of an airfoil circulated by a potential flow of an incompressible non-viscous liquid. A part of the profile is known; it is a broken line, convex upwards. The other part is found by the values of velocity potential, given as a function of parameter which can be either the abscissa, or the ordinate of an airfoil point. On a small part of the airfoil, containing the leading edge, the parameter is the ordinate, and for other points of the unknown part it is the abscissa.