Inverse problems for Bessel-type differential equations on noncompact graphs using spectral data

Bessel-type differential operators on noncompact star-type graphs under generalized Neumann-type boundary conditions are studied. We establish properties of the spectral characteristics and then we investigate the inverse problem of recovering the operator from the so-called spectral data. For this inverse problem, we prove a uniqueness theorem and propose a procedure for constructing the solution using the method of spectral mappings