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Axiomatic Method for Constructing a Generalized Solution of a Mixed Problem for a Telegraph Equationстатья
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 апреля 2024 г.
- Автор: Lomov I.S.
- Журнал: Springer Proceedings in Mathematics and Statistics
- Том: 423
- Год издания: 2023
- Первая страница: 65
- Последняя страница: 76
- DOI: 10.1007/978-3-031-28505-9_5
- Аннотация: The paper presents an algorithm for constructing a rapidly converging series representing a generalized solution of a mixed problem for a telegraphic equation considered in a half-band. Reviewed the case of an essentially non-self-adjoint operator in a spatial variable. The system of root functions of a differential operator, in addition to its eigenfunctions, contains an infinite number of associated functions. The constructed series can be considered as a generalized d’Alembert formula. A new axiomatic A.P. Khromov’s method is applied to construct the solution. The proposed approach superseds the traditional method of separating variables for solving mixed problems, which usually results in to slowly converging series. For the problem under consideration, in general, the method of separating variables is not applicable, since the coefficient of the equation depends both on the spatial variable and on time.
- Добавил в систему: Ломов Игорь Сергеевич
Прикрепленные файлы
| № | Имя | Описание | Имя файла | Размер | Добавлен |
|---|---|---|---|---|---|
| 1. | Полный текст | 526377_1_En_5_Chapter_Author.pdf | 294,0 КБ | 7 июня 2023 [lomovIS] |