Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I
Isospectral problems for operator-valued Sturm-Liouville and Dirac differential expressions are considered. Within the framework of the gradient method, one establishes the complete integrability of the Lax associated nonlinear Hamiltonian systems with a bilocal implectic pair of Noetherian operator...
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| Datum: | 1990 |
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| Format: | Artikel |
| Sprache: | Russisch |
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Institute of Mathematics, NAS of Ukraine
1990
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/8839 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513324456738816 |
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| author | Bogolyubov (juniour), N. N. Prikarpatsky , A. K. Боголюбов (мл.), Н. Н. Прикарпатский, А. К. |
| author_facet | Bogolyubov (juniour), N. N. Prikarpatsky , A. K. Боголюбов (мл.), Н. Н. Прикарпатский, А. К. |
| author_sort | Bogolyubov (juniour), N. N. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-11-14T10:10:56Z |
| description | Isospectral problems for operator-valued Sturm-Liouville and Dirac differential expressions are considered. Within the framework of the gradient method, one establishes the complete integrability of the Lax associated nonlinear Hamiltonian systems with a bilocal implectic pair of Noetherian operators on a manifold of integral operators. |
| first_indexed | 2026-03-24T03:42:52Z |
| format | Article |
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| id | umjimathkievua-article-8839 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:42:52Z |
| publishDate | 1990 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1b/f63f68f8fce054695f69faccb966ad1b.pdf |
| spelling | umjimathkievua-article-88392024-11-14T10:10:56Z Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I Билокальная периодическая задача для операторов Штурма — Лиувилля и Дирака и некоторые приложения в теории нелинейных динамических систем. I Bogolyubov (juniour), N. N. Prikarpatsky , A. K. Боголюбов (мл.), Н. Н. Прикарпатский, А. К. Isospectral problems for operator-valued Sturm-Liouville and Dirac differential expressions are considered. Within the framework of the gradient method, one establishes the complete integrability of the Lax associated nonlinear Hamiltonian systems with a bilocal implectic pair of Noetherian operators on a manifold of integral operators. Рассмотрены изоспектральные задачи для операторно-значных дифференциальных выражений Штурма — Лнувилля и Дирака. Установлена в рамках градиентного метода полная интегрируемость ассоциированных по Лаксу нелинейных гамильтоновых систем с билокальиой имплектической парой нетеровых операторов на многообразии интегральных операторов. Розглянуті ізоспектральні задачі для операторно-значних диференціальних виразів Штурма— Ліувіля га Дірака. Встановлено в рамках градієнтного методу повну інтегровність асоційованих по Лаксу нелінійних гамільтонових систем з білокальною імплектичною парою нетерових операторів на многостатності інтегральних операторів. Institute of Mathematics, NAS of Ukraine 1990-06-19 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8839 Ukrains’kyi Matematychnyi Zhurnal; Vol. 42 No. 6 (1990); 794-800 Український математичний журнал; Том 42 № 6 (1990); 794-800 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8839/10260 Copyright (c) 1990 N. N. Bogolyubov (juniour), A. K. Prikarpatsky |
| spellingShingle | Bogolyubov (juniour), N. N. Prikarpatsky , A. K. Боголюбов (мл.), Н. Н. Прикарпатский, А. К. Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I |
| title | Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I |
| title_alt | Билокальная периодическая задача для операторов Штурма — Лиувилля и Дирака и некоторые приложения в теории нелинейных динамических систем. I |
| title_full | Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I |
| title_fullStr | Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I |
| title_full_unstemmed | Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I |
| title_short | Bilocal periodic problem for the Sturm-Liouville and Dirak operators as well as certain applications in the theory of nonlinear dynamic systems. I |
| title_sort | bilocal periodic problem for the sturm-liouville and dirak operators as well as certain applications in the theory of nonlinear dynamic systems. i |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8839 |
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