Identification of the polynomial in nonseparated boundary conditions by one eigenvalue


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Abstract

We consider a spectral problem for an ordinary differential equation on a finite interval. The boundary conditions contain functions and a polynomial in the spectral parameter. We find a criterion for the unique reconstruction of this polynomial by one multiple eigenvalue. Related examples are presented.

About the authors

A. M. Akhtyamov

Institute of Mechanics; Bashkir State University

Author for correspondence.
Email: AkhtyamovAM@mail.ru
Russian Federation, Ufa; Ufa

R. R. Kumushbaev

Institute of Mechanics; Bashkir State University

Email: AkhtyamovAM@mail.ru
Russian Federation, Ufa; Ufa

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