Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil
Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil
Abstract The inverse problem for the Schrodinger operator with complex periodic potentials and discontinuous coefficient on the axis is studied. Main characteristics of the fundamental solutions are investigated, the spectrum of the operator is analysed. The inverse problem is formulated, a uniqueness theorem is proved, a constructive procedure for the …