Inverse Problem for a Differential Operator with Nonseparated Boundary Conditions


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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.

About the authors

V. A. Sadovnichii

Faculty of Mechanics and Mathematics

Email: akhtyamovam@mail.ru
Russian Federation, Moscow, 119991

Ya. T. Sultanaev

Bashkir State Pedagogical University; Institute of Mechanics

Email: akhtyamovam@mail.ru
Russian Federation, Ufa, Bashkortostan, 450000; Ufa, Bashkortostan, 450025

A. M. Akhtyamov

Institute of Mechanics; Bashkir State University

Author for correspondence.
Email: akhtyamovam@mail.ru
Russian Federation, Ufa, Bashkortostan, 450025; Ufa, Bashkortostan, 450074


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