电邮这篇文章 OPTIMIZATION SPECTRAL PROBLEM FOR THE STURM-LIOUVILLE OPERATOR IN THE SPACE OF VECTOR FUNCTIONS
- 作者: Sadovnichii V.A.1, Sultanaev Y.T.2,3, Valeev N.F.4
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隶属关系:
- M.V. Lomonosov Moscow State University
- Bashkir State Pedagogical University n.a. M. Akmulla
- Moscow Center for Fundamental and Applied Mathematics
- Institute of Mathematics with Computing Centre
- 期: 卷 513, 编号 1 (2023)
- 页面: 93-98
- 栏目: MATHEMATICS
- URL: https://journals.rcsi.science/2686-9543/article/view/247074
- DOI: https://doi.org/10.31857/S2686954323600477
- EDN: https://elibrary.ru/GHJAMX
- ID: 247074
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详细
An inverse spectral optimization problem is considered: for a given matrix potential \({{Q}_{0}}(x)\) it is required to find the matrix function \(\hat {Q}(x)\) closest to it, such that the k-th eigenvalue of the Sturm–Liouville matrix operator with potential \(\hat {Q}(x)\) matched the given value \(\lambda {\kern 1pt} *\). The main result of the paper is the proof of existence and uniqueness theorems. Explicit formulas for the optimal potential are established through solutions to systems of nonlinear differential equations of the second order, known in mathematical physics as systems of nonlinear Schrödinger equations
作者简介
V. Sadovnichii
M.V. Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: info@rector.msu.ru
Russian Federation, Moscow
Ya. Sultanaev
Bashkir State Pedagogical University n.a. M. Akmulla; Moscow Center for Fundamental and Applied Mathematics
编辑信件的主要联系方式.
Email: sultanaevyt@gmail.com
Russian Federation, Ufa; Russian Federation, Moscow
N. Valeev
Institute of Mathematics with Computing Centre
编辑信件的主要联系方式.
Email: valeevnf@yandex.ru
Russian Federation, Ufa
参考
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