Inverse Wave Spectral Problem with Discontinuous Wave Speed

• Published in: Журнал математической физики, анализа, геометрии
• Date: 2010
• Main Authors: Efendiev, R.F., Orudzhev, H.D.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/106643
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Inverse Wave Spectral Problem with Discontinuous Wave Speed / R.F. Efendiev, H.D. Orudzhev // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 255-265. — Бібліогр.: 14 назв. — англ.

The inverse problem for the Sturm{Liouville operator with complex pe- riodic potential and positive discontinuous coe±cients on the axis is studied. The main characteristics of the fundamental solutions and the spectrum of the operator are studied. The formulation of the inverse problem and a constr...