Abstract
The inverse problem of reconstructing the coefficients A and B in the equation {fx379-01} in the half-plane z > 0 is considered. It is assumed that an instantaneous point source at z = 0 generates a wave field U(t, z, x), which is known on the boundary. It is also known that the coefficients A and B can be represented in the form {fx379-02}. Here e is a small parameter. An algorithm for determinating the coefficients A0, B0, A1, and B1 with accuracy O(e2) is constructed. Bibliography: 5 titles.
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