Internal Layer for a System of Singularly Perturbed Equations with Discontinuous Right-Hand Sideстатья
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: 10 апреля 2019 г.
Аннотация:We study a system of two singularly perturbed first-order equations on an interval.
The equations have discontinuous right-hand sides and equal powers of the small parameter
multiplying the derivatives. We consider a new class of problems with discontinuous righthand side, prove the existence of a solution with an internal transition layer, and construct its
asymptotic approximation of arbitrary order. The asymptotic approximations are constructed
by the Vasil’eva method, and the existence theorems are proved by the matching method.