V. A. Sadovnichii, Ya. T. Sultanaev, A. M. Akhtyamov, “Uniqueness of reconstruction of an <nobr>$n$</nobr>th-order differential operator with nonseparated boundary conditions by several spectra”, Dokl. RAN. Math. Inf. Proc. Upr., 2020, Volume 490,Pages <nobr>55

MATHEMATICS

Uniqueness of reconstruction of an $n$th-order differential operator with nonseparated boundary conditions by several spectra

V. A. Sadovnichii^a, Ya. T. Sultanaev^ab, A. M. Akhtyamov^cd

^a Lomonosov Moscow State University, Moscow, Russian Federation
^b Bashkir State Pedagogical University n. a. M. Akmulla, Ufa, Russian Federation
^c Bashkir State University, Ufa, Russian Federation
^d Mavlyutov Institute of Mechanics, Ufa Branch of the Russian Academy of Sciences, Ufa, Russian Federation

Abstract: A uniqueness theorem for reconstruction of an $n$th-order differential operator with nonseparated boundary conditions from several spectra is proved. This theorem is based on the results of E.A. Baranova.

Keywords: reconstruction of an $n$th-order differential operator, inverse spectral problem with nonseparated boundary conditions, inverse problem of reconstructing a differential operator from several spectra.

UDC: 517.984.54

Received: 10.10.2019
Revised: 10.10.2019
Accepted: 29.10.2019

DOI: 10.31857/S2686954320010075