Identification of non-decaying boundary conditions

We consider the problem of identification of non-decaying boundary conditions by five eigenvalues. Based on the Plücker conditions that appear in the recovering of a matrix by its minors of maximal size, we prove the well-posedness set of the problem and construct its well-posedness set. We solve the problem of identification of the matrix of non-decaying boundary conditions in terms of the characteristic determinant of the corresponding spectral problem.