For citation:
Mazur T. V. On the Solvability of the Inverse Sturm – Liouville Problem in the Central Symmetry Case. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2008, vol. 8, iss. 1, pp. 21-24. DOI: 10.18500/1816-9791-2008-8-1-21-24
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
03.03.2008
Full text:
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Language:
Russian
Heading:
UDC:
517.984
On the Solvability of the Inverse Sturm – Liouville Problem in the Central Symmetry Case
Autors:
Mazur T. V., Yuri Gagarin State Technical University of Saratov
Abstract:
Necessary and sufficient conditions are provided for the solvability of the inverse problem of recovering Sturm – Liouville operator from its spectrum in the central symmetry case.
Key words:
References:
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- Юрко В.А. Обратные спектральные задачи и их приложения. Саратов: Изд-во Сарат. пед. ин-та, 2001.
- Conway J.B. Functions of One Complex Variable. 2nd ed. V. I. N.Y.: Springer-Verlag, 1995.
- Poschel J., Trubowitz E. ̈ Inverse Spectral Theory. N.Y.: Academic Press, 1987.
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