inverse problems

Inverse Spectral Problem for Discrete Operators in Topological Spaces

Authors: Yurko V. A.

An inverse spectral problem for discrete operators of a triangular structure in topological spaces is studied. A constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions for its solvability are obtained.

Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for Sturm–Liouville Operators with a Nonintegrable Singularity Inside a Finite Interval

Authors: Fedoseev A. E.

The inverse spectral problem of recovering Sturm–Liouville operators on a finite interval with a nonintegrable Bessel-type singularity

in an interior point from the given spectral data is studied. A corresponding uniqueness theorem is proved, a constructive procedure

for the solution of the inverse problem is provided. Necessary and sufficient conditions for the solvability of the inverse problem are

obtained.