Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil

Details 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

2008-04-15

arxiv.org/abs/0804.2320v2

Mathematics

Spectral Theory

9 pages

Scientific paper

The inverse problem for the differential operator pencil with complex periodic potential and discontinuous coefficients on the axis is studied. Main characteristics of the fundamental solutions are investigated, the spectrum of the operator is studied. We give formulation of the inverse problem, prove a uniqueness theorem and provide a constructive procedure for the solution of the inverse problem

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