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Математические заметки, 2021, том 109, выпуск 3, статья опубликована в англоязычной версии журнала
(Mi mzm12844)
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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
Статьи, опубликованные в английской версии журнала
Direct and Inverse Problems for the Matrix Sturm–Liouville
Operator with General Self-Adjoint Boundary Conditions
N. P. Bondarenkoab a Department of Applied Mathematics and Physics, Samara
National Research University, Samara, 443086 Russia
b Department of Mechanics and Mathematics, Saratov State
University, Saratov, 410012 Russia
Аннотация:
The matrix Sturm–Liouville operator on a finite interval with boundary conditions in the
general self-adjoint form and with singular potential of
class
$W_2^{-1}$
is studied.
This operator generalizes Sturm–Liouville operators on
geometrical graphs.
We investigate structural and asymptotical
properties of the spectral data (eigenvalues and weight matrices) of this operator.
Furthermore, we prove the uniqueness of recovering the operator
from its spectral data, by using the method of spectral mappings.
Ключевые слова:
matrix Sturm–Liouville operator, singular potential, Sturm–Liouville operators on
graphs,
eigenvalue asymptotics, Riesz-basicity of eigenfunctions,
inverse problem, uniqueness theorem.
Поступило: 18.07.2020
Образец цитирования:
N. P. Bondarenko, “Direct and Inverse Problems for the Matrix Sturm–Liouville
Operator with General Self-Adjoint Boundary Conditions”, Math. Notes, 109:3 (2021), 358–378
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/mzm12844
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