On the identification of nonseparated boundary conditions
A.M. Akhtyamov$^1, $2, A.V. Mouftakhov$^3, $4
Annotation | A criterion for uniqueness of the nonseparated boundary conditions restoration for eigenvalue problem with the differential equation of order 2 from two eigenvalues is proved. An explicit solution of the problem is presented. The well-posedness of the problem is showed. Examples of boundary conditions identification for the specific spectral problems are considered. |
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Keywords | inverse eigenvalue problem, the eigenvalues, the boundary conditions |
1Chief Researcher, Institute of Mechanics, Ufa Scientific Center Russian Academy of Sciences, Ufa; akhtyamovam@mail.ru;
2Head of the Continuum Mechanics Chair, Bashkir State University, Ufa
3Lector, The Jerusalem College of Engineering, Jerusalem, Israel; muftahov@yahoo.com
4Sami Shamoon Engineering College, Israel
Citation: A.M. Akhtyamov$^,$, A.V. Mouftakhov$^,$, "[On the identification of nonseparated boundary conditions]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,14:2 (2012) 40–47 (In Russian)