Страница публикации

К дифференциальной реализации билинейной системы второго порядка в гильбертовом пространстве

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Лакеев А.В., Линке Ю.Э., Русанов В.А.

Журнал: Сибирский журнал индустриальной математики

Язык публикации: russian

Том: XXII

Номера страниц: 27-36

Количество страниц: 10

Номер: 2

Год публикации: 2019

Отчетный год: 2019

Переводная версия: {"id":5189,"authors":"Lakeyev A.V., Linke Y.E., Rusanov V.","authors_count":3,"title":"On the Differential Realization of a Second-Order Bilinear System in a Hilbert Space","journal":"Journal of Applied and Industrial Mathematics","year":2019,"reportYear":2019,"volume":"13","number":"2","month":null,"url":"","pages":"261-269","address":"","type":"\u0422\u0435\u043a\u0441\u0442","publisher":"","edition":"","language":"english","classification":"\u0421\u0442\u0430\u0442\u044c\u0438 \u0432 \u0437\u0430\u0440\u0443\u0431\u0435\u0436\u043d\u044b\u0445 \u0438 \u043f\u0435\u0440\u0435\u0432\u043e\u0434\u043d\u044b\u0445 \u0436\u0443\u0440\u043d\u0430\u043b\u0430\u0445","annotation":"We study the necessary and sufficient conditions for the existence of a nonlinear differential realization of a continuous infinite-dimensional behaviorist system in the class of nonstationary second-order bilinear ordinary differential (in particular, hyperbolic) equations in a separable Hilbert space. The obtained conditions rely upon the tensor products of Hilbert spaces. In passing, we analytically justify some topological-metrical continuity conditions for the projectivization of the Rayleigh\u2014Ritz operator with the calculation of the fundamental group of its image.","published_at":null,"doi":"10.1134\/S1990478919020078","is_to_print":0,"is_special":0,"is_wos":0,"is_scopus":1,"is_risc":0,"is_editable":0,"publication_type_id":1,"added_by_rb_user_id":null,"notes":"","created_at":"2019-10-09 02:54:52","updated_at":"2019-10-09 02:54:52","translated_id":null,"quartile":null,"series":"","is_vak":0,"conference":null,"is_public_pdf":0,"eid":null,"wosid":null,"quartile_scopus":null,"report_type":null,"speaker":0,"is_wl":0,"quartile_wl":null,"count_pages":9,"date_event_start":null,"date_event_end":null,"location_event":null,"lvl_event":null,"link_event":null,"title_event":null,"is_affiliation_idstu":null,"is_expert_opinion":null,"quartile_vak":null,"id_author_reference":null,"is_cr":null,"quartile_cr":null,"registration_number":null}

DOI: 10.17377/sibjim.2019.22.203

Индексируется WOS: Нет

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Да

Индексируется ВАК: Нет

Индексируется CORE: Нет