Applications of continual integrals to solution some inverse problems for three-dimensional Schroedinger equation

Nonlinear integral equations of the 2-nd kind for the known inverse problems of the spectral theory of Schroedinger operator H=-Δ+v(r-vector) are deduced from the solution of initial value problem presented in the form of the continual wilner integral. New theorems and formulae connecting the spectral kernel of the family of operators with the potential v(r-vector) are given. 16 refs