4 papers
Inverse scattering problem for a third-order differential operator with double potential
V. A. Zolotarev
Direct and inverse scattering problems for a third-order self-adjoint differential operator on the whole axis are studied. This operator is the sum of three summands: operator of t…
Inverse scattering problem for third order differential operators on the whole axis
V. A. Zolotarev
Inverse scattering problem for an operator, which is a sum of the operator of the third derivative and of an operator of multiplication by a real function, is solved. The main clos…
Inverse scattering problem for operators with a finite dimensional non-local potential
Vladimir A. Zolotarev
Scattering problem for a self-adjoint integro-differential operator, which is the sum of the operator of second derivative and of a finite-dimensional self-adjoint operator, is stu…
Direct and inverse problems for a periodic problem with non-local potential
Vladimir A. Zolotarev
Sum of a second derivative operator with periodic boundary conditions and an integral operator of rank one (non-local potential) is studied in this manuscript. Not only spectral an…