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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| Дата: | 2017 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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| Назва видання: | Український математичний вісник |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169323 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1693232020-06-11T01:26:32Z Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index Mogilevskii, V.I. 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)}. 2017 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169323 en Український математичний вісник Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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)}. |
| format |
Article |
| author |
Mogilevskii, V.I. |
| spellingShingle |
Mogilevskii, V.I. Pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index Український математичний вісник |
| author_facet |
Mogilevskii, V.I. |
| author_sort |
Mogilevskii, V.I. |
| title |
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_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_sort |
pseudospectral functions of various dimensions for symmetric systems with the maximal deficiency index |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169323 |
| 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. |
| series |
Український математичний вісник |
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2023-10-18T22:24:54Z |
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