6 papers
Inverse spectral problem for a third-order differential operator
Vladimir A. Zolotarev
Inverse spectral problem for a self-adjoint differential operator, which is the sum of the operator of the third derivative on a finite interval and of the operator of multiplicati…
Inverse scattering problem for a third-order operator with local potential
Vladimir A. Zolotarev
Inverse scattering problem for the operator representing sum of the operator of the third derivative on semi-axis and of the operator of multiplication by a real function is studie…
Characteristic function of pencils. Model representations of a quadratic operator pencil
Vladimir A. Zolotarev
Notion of an open system of second order is introduced. Characteristic function for such an open system is obtained. Model representations of a quadratic non-self-adjoint operator…
Inverse scattering problem for a third-order operator with non-local potential
V. A. Zolotarev
Direct and inverse scattering problem for an operator with non-local potential is solved in the paper. The method is based on the Riemann boundary value problem on a bundle of thre…
Inverse spectral problem for a third-order differential operator with non-local potential
V. A. Zolotarev
Spectral problem for a self-adjoint third-order differential operator with non-local potential on a finite interval is studied. Elementary functions that are analogues of sines and…
Direct spectral problem for a Dirac operator with non-local potential
Vladimir A. Zolotarev
For a Dirac operator with non-local potential on a finite segment, a method of reconstruction of non-local potential from the spectral data is developed. Description of spectral da…