On the Well-possedness of the Problem of Reconstruction of Non-separate Boundary Conditions

2008/01/24 by A. M. Akhtyamov, A. V. Mouftakhov, Artour Mouftakhov +7
Mathematics · #34A55 #65L09 #74H45 #FOS: Mathematics #Mathematical Analysis and Transform Methods #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.SP #msc:34A55 #msc:65L09 #msc:74H45

paper · pdf · doi:10.48550/arxiv.0801.3766

9 pages

arxiv created 2008/01/24 · openalex publication_date 2008/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider an inverse spectral problem with the third-order differential equation and the non-separated boundary conditions. Two theorems on the uniqueness of the solution of this problem are proved, and a method for establishing the unknown conditions is obtained, using 19 eigenvalues. The method of approximate calculation of unknown boundary conditions is explained, with the help of an example.

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