Inverse Indefinite Spectral Problem for Second Order Differential Operator with Complex Periodoc Coefficients

Details Inverse Indefinite Spectral Problem for Second Order Differential Operator with Complex Periodoc Coefficients Inverse Indefinite Spectral Problem for Second Order Differential Operator with Complex Periodoc Coefficients

2008-04-07

arxiv.org/abs/0804.1065v1

Mathematics

Spectral Theory

14 pages

Scientific paper

The inverse problem for the Sturm- Liouville operator 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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