Inverse problems of spectral analysis for Sturm–Liouville operators with nonseparated boundary conditions. II
Sbornik. Mathematics, Tome 64 (1989) no. 1, pp. 141-160
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This is a continuation of Mat. Sb. (N.S.) 1986. V. 131(173). The author proves sufficient conditions that must be satisfied by the spectral data of any two similar Sturm–Liouville boundary value problems with nonseparated boundary conditions. Characteristic properties are obtained for conformal mappings of domains connected with such problems onto the upper half-plane. Bibliography: 4 titles.
[1] Marchenko V. A., Ostrovskii I. V., “Kharakteristika spektra operatora Khilla”, Matem. sb., 97 (1975), 540–606 | Zbl
[2] Marchenko V. A., Operatory Shturma–Liuvillya i ikh prilozhenie, Nauk. dumka, Kiev., 1977 | MR
[3] Gofman K., Banakhovy prostranstva analiticheskikh funktsii, IL, M., 1963
[4] Plaksina O. A., “Obratnye zadachi spektralnogo analiza dlya operatorov Shturma–Liuvillya s nerazdelennymi granichnymi usloviyami”, Matem. sb., 131(173) (1986), 3–26 | Zbl