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Inverse Wave Spectral Problem with Discontinuous Wave Speed
Репозиторій DSpace/Manakin
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Inverse Wave Spectral Problem with Discontinuous Wave Speed
Посилання:
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.
Підтримка:
The paper was finished during the time R.F. Efendiev visited Universite de Nantes as an invited professor. The author wishes to thank Prof. A. Nachaoui and Prof. A. Boulkhemair from Nantes University for discussing the paper as well as the administration of University for invitation and Laboratoire de Mathematiques Jean Leray for kind and warm hospitality.
Дата:
2010
Переглядів:
751
Завантажень:
267
Анотація:
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 constructive procedure for its solution are given. The uniqueness theorem of the inverse problem is proven.
