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Singularly perturbed boundary value problems for systems of Tichonov’s type in case of exchange of stabilitiesстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 18 июля 2013 г.
- Авторы: Butuzov V.F., Nefedov N.N., Schneider K.R.
- Журнал: Journal of Differential Equations
- Том: 159
- Номер: 2
- Год издания: 1999
- Издательство: Academic Press
- Местоположение издательства: United States
- Первая страница: 427
- Последняя страница: 446
- DOI: 10.1006/jdeq.1999.3670
- Аннотация: We consider a system of ordinary differential equations consisting of a singularly perturbed scalar differential equation of second order and a scalar differential equation of first or second order and study a Neumann-Cauchy or a Neumann-Dirichlet problem. We assume that the degenerate equation has two intersecting solutions such that the standard theory for systems of Tichonov’s type cannot be applied. We introduce the notation of a degenerate stable solution. By means of the technique of ordered lower and upper solutions we prove the existence of a solution of our problems near the degenerate stable solution for sufficiently small epsilon and determine its asymptotic behavior in epsilon. (C) 1999 Academic Press.
- Добавил в систему: Бутузов Валентин Федорович