Inverse Indefinite Spectral Problem for Second Order Differential Operator with Complex Periodoc Coefficients
Spectral Theory
2008-04-08 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0804.1065,
title = {Inverse Indefinite Spectral Problem for Second Order Differential Operator with Complex Periodoc Coefficients},
author = {R. F. Efendiev},
journal= {arXiv preprint arXiv:0804.1065},
year = {2008}
}
Comments
14 pages