Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index
We consider first-order symmetric system Jy′ −A(t)y = λ∆(t)y with n×n-matrix coefficients defined on an interval [a, b) with the regular endpoint a. It is assumed that the deficiency indices N± of the system satisfies N− ≤ N+ = n. The main result is a parametrization of all pseudospectral functions...
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| Veröffentlicht in: | Український математичний вісник |
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2017
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/169323 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index / V.I. Mogilevskii // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 220-264. — Бібліогр.: 38 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717942534242304 |
|---|---|
| author | Mogilevskii, V.I. |
| author_facet | Mogilevskii, V.I. |
| citation_txt | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index / V.I. Mogilevskii // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 220-264. — Бібліогр.: 38 назв. — англ. |
| collection | DSpace DC |
| container_title | Український математичний вісник |
| description | We consider first-order symmetric system Jy′ −A(t)y = λ∆(t)y with n×n-matrix coefficients defined on an interval [a, b) with the regular endpoint a. It is assumed that the deficiency indices N± of the system satisfies N− ≤ N+ = n. The main result is a parametrization of all pseudospectral functions σ(•) of any possible dimension nσ ≤ n by means of a Nevanlinna parameter τ = {C₀ (λ), C₁ (λ)}.
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| first_indexed | 2025-12-07T18:13:15Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169323 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1810-3200 |
| language | English |
| last_indexed | 2025-12-07T18:13:15Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Mogilevskii, V.I. 2020-06-10T15:25:47Z 2020-06-10T15:25:47Z 2017 Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index / V.I. Mogilevskii // Український математичний вісник. — 2017. — Т. 14, № 2. — С. 220-264. — Бібліогр.: 38 назв. — англ. 1810-3200 2010 MSC. 34L10,47A06,47E05 https://nasplib.isofts.kiev.ua/handle/123456789/169323 We consider first-order symmetric system Jy′ −A(t)y = λ∆(t)y with n×n-matrix coefficients defined on an interval [a, b) with the regular endpoint a. It is assumed that the deficiency indices N± of the system satisfies N− ≤ N+ = n. The main result is a parametrization of all pseudospectral functions σ(•) of any possible dimension nσ ≤ n by means of a Nevanlinna parameter τ = {C₀ (λ), C₁ (λ)}. en Інститут прикладної математики і механіки НАН України Український математичний вісник Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index Article published earlier |
| spellingShingle | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index Mogilevskii, V.I. |
| title | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| title_full | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| title_fullStr | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| title_full_unstemmed | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| title_short | Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| title_sort | pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169323 |
| work_keys_str_mv | AT mogilevskiivi pseudospectralfunctionsofvariousdimensionsforsymmetricsystemswiththemaximaldeficiencyindex |