Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics"
September 16, 2019 14:00–14:40, Ñåêöèÿ «Ìàòåìàòè÷åñêàÿ ôèçèêà»
 


The eigenvalues’ function (EVF) of the family of Sturm-Liouville operators and the inverse problems

T. N. Harutyunyan
Video records:
MP4 1,312.4 Mb
MP4 1,400.2 Mb

Number of views:
This page:193
Video files:43



Abstract: We prove that the union of the spectra of the family of operators of Sturm-Liouville operators (generated by potential q and the family of separated boundary conditions) can be presented as a smooth surface, which we call EVF. We give the algorithm of reconstruction of q by EVF and prove that some uniqueness theorems in inverse problems follow from the properties of EVF. We apply EVF to problem of translation eigenvalues.

Language: English
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024