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A Method of the Study of the Cauchy Problem for a Singularly Perturbed Linear Inhomogeneous Differential Equationстатья Исследовательская статья
Дата последнего поиска статьи во внешних источниках: 22 февраля 2019 г.
- Авторы: Bukzhalev Evgeny E., Ovchinnikov Alexey V.
- Журнал: Australian Journal of Mathematical Analysis and Applications
- Том: 15
- Номер: 2
- Год издания: 2018
- Издательство: Australian Internet Publishing
- Местоположение издательства: Australia
- Первая страница: 6
- Аннотация: We construct a sequence that converges to a solution of the Cauchy problem for a singularly perturbed linear inhomogeneous differential equation of an arbitrary order. This sequence is also an asymptotic sequence in the following sense: the deviation (in the norm of the space of continuous functions) of its nth element from the solution of the problem is proportional to the (n + 1)th power of the parameter of perturbation. This sequence can be used for justification of asymptotics obtained by the method of boundary functions.
- Добавил в систему: Букжалёв Евгений Евгеньевич