Том 71
№ 8

All Issues

Keskin B.

Articles: 2
Brief Communications (Ukrainian)

Spectral problem for discontinuous integro-differential operator

Keskin B., Ozkan S. A.

↓ Abstract   |   Full text (.pdf)

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.

Article (English)

Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition

Amirov R. Kh., Keskin B., Özkan G.

↓ Abstract   |   Full text (.pdf)

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.