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On the determination of the density of a vibrating string from spectral data. (English) Zbl 0337.34023

MSC:
34L99 Ordinary differential operators
34B05 Linear boundary value problems for ordinary differential equations
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[1] Borg, G, Eine umkehrung der Sturm-liouvilleschen eigenwertaufgabe, Acta math., 78, 1-96, (1945) · Zbl 0063.00523
[2] Hochstadt, H, The inverse Sturm-Liouville problem, Comm. pure appl. math., 26, 715-729, (1973) · Zbl 0281.34015
[3] \scH. Hochstadt, On inverse problems associated with Sturm-Liouville operators, J. Diff. Eqs. (to appear). · Zbl 0266.34027
[4] Krein, M.G, Determination of the density of a nonhomogeneous symmetric cord from its frequency spectrum, Dokl. akad. nauk SSSR (N.S.), 76, 345-348, (1951)
[5] Krein, M.G, On the inverse problem for a nonhomogeneous cord, Dokl. akad. nauk SSSR (N.S.), 82, 669-672, (1952)
[6] Krein, M.G, On some cases of the effective determination of the density of a nonhomogeneous cord from its spectral function, Dokl. akad. nauk SSSR (N.S.), 93, 617-660, (1953)
[7] Levinson, N, The inverse Sturm-Liouville problem, Mat. tidesskr. B, 25-30, (1949) · Zbl 0041.42310
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