The One-Dimenshional Inverse Wave Spectral Problem with Discontinuous Wave Speed
Classical Analysis and ODEs
2008-04-15 v1
Abstract
The inverse problem for the Sturm- Liouville operator with complex periodic potential and positive 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.0804.2120,
title = {The One-Dimenshional Inverse Wave Spectral Problem with Discontinuous Wave Speed},
author = {R. F. Efendiev},
journal= {arXiv preprint arXiv:0804.2120},
year = {2008}
}
Comments
11 pages