Geodesic
Identification of non-decaying boundary conditions
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 3-12.

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We consider the problem of identification of non-decaying boundary conditions by five eigenvalues. Based on the Plücker conditions that appear in the recovering of a matrix by its minors of maximal size, we prove the well-posedness set of the problem and construct its well-posedness set. We solve the problem of identification of the matrix of non-decaying boundary conditions in terms of the characteristic determinant of the corresponding spectral problem.
Keywords: non-decaying boundary conditions, spectral problem, well-posedness in the Tikhonov sense
Mots-clés : Plücker conditions. 
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     author = {A. M. Akhtyamov and A. V. Mouftakhov},
     title = {Identification of non-decaying boundary conditions},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--12},
     publisher = {mathdoc},
     volume = {141},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_141_a0/}
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A. M. Akhtyamov; A. V. Mouftakhov. Identification of non-decaying boundary conditions. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Spectral theory, Tome 141 (2017), pp. 3-12. http://geodesic.mathdoc.fr/item/INTO_2017_141_a0/