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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1988 Volume 136(178), Number 1(5), Pages 140–159 (Mi sm1733)

This article is cited in 18 papers

Inverse problems of spectral analysis for Sturm–Liouville operators with nonseparated boundary conditions. II

O. A. Plaksina


Abstract: 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.

UDC: 517.9

MSC: Primary 34B25, 34B05; Secondary 34E05, 30C20

Received: 22.09.1986


 English version:
Mathematics of the USSR-Sbornik, 1989, 64:1, 141–160

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© Steklov Math. Inst. of RAS, 2026