Ukr. Mat. Zh. - 2012. - 64, № 2. - pp. 277-282
A representation of solutions of a discontinuous integro-differential operator is obtained. The asymptotic behavior of the eigenvalues and eigenfunctions of this operator is described.
Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
Ukr. Mat. Zh. - 2009. - 61, № 9. - pp. 1155-1166
We investigate a problem for the Dirac differential operators in the case where an eigenparameter not only appears in the differential equation but is also linearly contained in a boundary condition. We prove uniqueness theorems for the inverse spectral problem with known collection of eigenvalues and normalizing constants or two spectra.