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Regular Papers

On the solvability of an inverse problem in the central symmetric case

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Pages 1819-1828 | Received 29 Jun 2010, Accepted 02 Oct 2010, Published online: 25 Jan 2011
 

Abstract

An inverse problem of spectral analysis is studied for Sturm–Liouville differential operators with non-separated boundary conditions. For the central symmetric case, we prove the local solvability of the inverse problem of recovering the potential from one spectrum.

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Acknowledgements

This research was supported in part by DAAD, by Qatar National Research Fund (project NPRP 08-345-1-067), by Russian Foundation for Basic Research and Taiwan National Science Council (projects 10-01-00099 and 10-01-92001-NSC).

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