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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2010, Volume 6, Number 3, Pages 255–265
(Mi jmag152)
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This article is cited in 4 scientific papers (total in 4 papers)
Inverse wave spectral problem with discontinuous wave speed
R. F. Efendieva, H. D. Orudzhevb a Institute of Applied Mathematics, Baku State University, 23 Z. Khalilov Str., Baku, AZ1148, Azerbaijan
b 16 km Baku-Sumqayit Road, Baku, AZ0101, Azerbaijan
Abstract:
The inverse problem for the Sturm–Liouville operator with complex periodic potential and positive discontinuous coefficients 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.
Key words and phrases:
spectral singularities, inverse spectral problem, continuous spectrum.
Received: 16.03.2009
Citation:
R. F. Efendiev, H. D. Orudzhev, “Inverse wave spectral problem with discontinuous wave speed”, Zh. Mat. Fiz. Anal. Geom., 6:3 (2010), 255–265
Linking options:
https://www.mathnet.ru/eng/jmag152 https://www.mathnet.ru/eng/jmag/v6/i3/p255
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Abstract page: | 289 | Full-text PDF : | 101 | References: | 47 |
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