Zobrazeno 1 - 10 of 19 pro vyhledávání: '"N. B. Uskova"'
3
Spectral Properties of the Dirac Operator on the Real Line
Autor: Anatoly Grigorievich Baskakov, N. B. Uskova, Ilya A. Krishtal
Publikováno v: Differential Equations. 57:139-147
We study the asymptotics of the spectrum of the Dirac operator on the real line with a potential in $$L_2 $$ . It is shown that the spectrum of such an operator lies in a domain of the complex plane symmetric about the real axis and bounded by the gr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3fabf6a38b576f00e176f85a28a0db66
https://doi.org/10.1134/s0012266121020026
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4
Decomposition of Linear Operators and Asymptotic Behavior of Eigenvalues of Difference Operators with Growing Potential
Autor: G. V. Garkavenko, N. B. Uskova
Publikováno v: Journal of Mathematical Sciences. 246:812-827
We consider difference operators with growing potential in the Hilbert space of square summable complex bilateral sequences and study the asymptotic behavior of eigenvalues under three different groups of conditions on the potential. The main results
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::801a0ac4f39b2a8554da435aa5f1af0a
https://doi.org/10.1007/s10958-020-04784-3
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6
Spectral Properties of the Dirac Operator with a Nonsmooth Potential of the General Form and Operator Groups
Autor: N. B. Uskova
Publikováno v: Differential Equations. 55:1120-1124
We consider a Dirac operator L with the Dirichlet boundary conditions and a non-smooth potential of the general form. The asymptotics of the eigenvalues and eigenvectors is given. The operator group generated by the operator iL is constructed.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::fd58ab735b6b9aa38c3663c75bda65ca
https://doi.org/10.1134/s0012266119080135
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8
Spectral Analysis of Differential Operators with Involution and Operator Groups
Autor: N. B. Uskova, A. G. Baskakov
Publikováno v: Differential Equations. 54:1261-1265
We study the spectral properties of differential operators with involution of the following two types: operators with involution multiplying the potential and operators with involution multiplying the derivative. The similar operator method is used t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2cfd30639990875d71fb484fbb3dab93
https://doi.org/10.1134/s0012266118090136
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9
A Generalized Fourier Method for the System of First-Order Differential Equations with an Involution and a Group of Operators
Autor: A. G. Baskakov, N. B. Uskova
Publikováno v: Differential Equations. 54:277-281
A mixed problem is considered for a differential equation with an involution and matrix potential. The method of similar operators is used to transform the differential operator defined by this equation into the orthogonal direct sum of finite-rank o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1d6ced6f180e4f480dfbd036107a8a5e
https://doi.org/10.1134/s0012266118020131
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10
On the spectral properties of a second-order differential operator with a matrix potential
Autor: N. B. Uskova
Publikováno v: Differential Equations. 52:557-567
By applying the method of similar operators to a second-order differential operator with a matrix potential and semiperiodic boundary conditions, we obtain asymptotic estimates for the weighted mean eigenvalue and spectral projections and prove the e
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a77c28427d3392407102899f4262cd1c
https://doi.org/10.1134/s0012266116050049
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