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math.FA2023
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…
math.FA2022
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…
math.FA2020
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…