Conjugation problem for elliptic pseudodifferential equations on the plane

The conjugation problem for an elliptic pseudodifferential equation on the plane with an angular cut in the Sobolev–Slobodetskii space is considered. In addition to the boundary conditions, integral conditions are posed. Under a specific wave factorization of the symbol of the pseudodifferential operator, we reduce this boundary-value problem to an equivalent system of linear integral equations.