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Asymptotics, Stability, and Region of Attraction of Periodic Solution to a Singularly Perturbed Parabolic Problem with Double Root of a Degenerate Equationстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 29 марта 2018 г.
- Авторы: Butuzov V.F., Nefedov N.N., Recke L., Schneider K.
- Журнал: Automatic Control and Computer Sciences
- Том: 51
- Номер: 7
- Год издания: 2017
- Издательство: Allerton Press Inc.
- Местоположение издательства: United States
- Первая страница: 606
- Последняя страница: 613
- DOI: 10.3103/S0146411617070045
- Аннотация: For a singularly perturbed parabolic problem with Dirichlet boundary conditions, the asymptotic decomposition of a solution periodic in time and with boundary layers near the ends of the segment where the degenerate equation has a double root is constructed and substantiated. The construction algorithm for the asymptotics and the behavior of the solution in the boundary layers turn out to differ significantly as compared to the case of a simple root of a degenerate equation. The stability of the periodic solution and its region of attraction are also studied.
- Добавил в систему: Нефедов Николай Николаевич