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Nonlinear partial differential equations with delay: Linear stability/instability of solutions, numerical integrationстатья
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: 3 сентября 2019 г.
- Авторы: Sorokin V.G., Polyanin A.D.
- Журнал: Journal of Physics: Conference Series
- Том: 1205
- Год издания: 2019
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Первая страница: 012053
- DOI: 10.1088/1742-6596/1205/1/012053
- Аннотация: The paper deals with partial differential equations of parabolic and hyperbolic types that contain a nonlinear kinetic function with delay. Conditions for the linear stability and instability of stationary solutions of reaction-diffusion equations and conditions for the instability of solutions of more complicated equations with delay are formulated. A nonstationary solution of the model initial-boundary value problem with delay and quadratic nonlinearity is investigated for stability/instability. A numerical solution of the test problem in the domain of stability is obtained by the method of lines.
- Добавил в систему: Полянин Андрей Дмитриевич