On the structure of the solution of singularly perturbed initial boundary value problems with an unbounded spectrum of the limit operator

Singularly perturbed initial boundary value problems are studied for some classes of linear systems of ordinary differential equations on the semiaxis with an unbounded spectrum of the limit operator. We give a new version of the proof of the existence of a unique and bounded (as ε → +0) solution for which with the help of the splitting method we construct a uniform asymptotic expansion on the entire semiaxis and describe all singularities (reflecting the structure of the corresponding boundary layers) in closed analytic form, including the critical case in which the points of the spectrum of the limit operator can touch the imaginary axis; this supplements previous results. ©1999 Kluwer Academic/Plenum Publishers.

Авторы
Редакторы
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Журнал
Издательство
-
Номер выпуска
5-6
Язык
Английский
Страницы
701-704
Статус
Опубликовано
Подразделение
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DOI
-
Номер
-
Том
65
Год
1999
Организации
  • 1 Moscow Peoples Friendship University, Russian Federation
Ключевые слова
Asymptotic expansion; Initial boundary value problem; Limit operator; Linear system; Singularly perturbed problem; Splitting method; Unbounded spectrum
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/513/