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JOURNALS // Doklady Akademii Nauk // Archive

Dokl. Akad. Nauk, 2018, Volume 479, Number 6, Pages 616–619 (Mi dan47507)

Inverse problem for a differential operator with nonseparated boundary conditions

V. A. Sadovnichiia, A. M. Akhtyamovbc, Ya. T. Sultanaeva

a Lomonosov Moscow State University
b Bashkir State University
c Mavlyutov Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences

Abstract: Uniqueness theorems for the solution of an inverse problem for a fourth-order differential operator with nonseparated boundary conditions are proved. The spectral data for the problem is specified as the spectrum of the problem itself (or its three eigenvalues) and the spectral data of a system of three problems.

UDC: 517.984.54

DOI: 10.7868/S0869565218120034


 English version:
Doklady Mathematics, 2018, 97:2, 181–183

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© Steklov Math. Inst. of RAS, 2025