Algebraic-differential transformations of linear differential operators of arbitrary order and their spectral properties applicable to the inverse problem
Abstract:
Results obtained by the author in RZhMat., 1972, 6B684 are generalized to the case of a countable set of indices $\mathfrak N$. This allows the author to find necessary and sufficient conditions for the existence of a system of boundary-value problems with simple spectrum, having a given set of eigenvalues and weight numbers.
Bibliography: 10 titles.