An analogue of Borg's uniqueness theorem in the case of indecomposable boundary conditions

1998/12/16 by Azamat M. Akhtyamov, A. M. Akhtyamov, Akhtyamov, Azamat M.
Computer Science · Mathematics · #47A10 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:47A10

paper · pdf · doi:10.48550/arxiv.math/9812091

LaTeX, version 2.09, 5 pages, style article

arxiv created 1998/12/16 · openalex publication_date 1998/12/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An uniqueness theorem for the inverse problem in the case of a second-order equation defined on the interval [0,1] when the boundary forms contain combinations of the values of functions at the points 0 and 1 is proved. The auxiliary eigenvalue problems in our theorem are chose in the same manner as in Borg's uniqueness theorem are not as in that of Sadovni\v ci\check \imath 's. So number of conditions in our theorem is less than that in Sadovni\v ci\check\imath's.

Related

• A note on one inverse spectral problem
• On Uniqueness of a Solution to the Boundary Initial Value Problem
• Uniqueness for inverse boundary value problems by Dirichlet-to -Neumann map on subboundaries
• On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions
• Global Uniqueness for a Two-Dimensional Inverse Boundary Value Problem