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Existence and stability of a stationary solution with a two-scale transition layer of a system of two singularly perturbed second-order differential equations with quasimonotonity conditions of different signsдоклад на конференции
- Авторы: Levashova N.T., Samsonov D.S.
- Международная Конференция : Satellite International Conference on Nonlinear Dynamics and Integrability 2022
- Даты проведения конференции: 27 июня - 1 июля 2022
- Дата доклада: 27 июня 2022
- Тип доклада: Стендовый
- Докладчик: не указан
- Место проведения: Ярославль, Russia
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Аннотация доклада:
A parabolic problem with quasimonotonicity conditions characteristic for the problems of activator-inhibitor type is considered. The existence and stability theorems are proved using the asymptotic method of differential inequalities; for this, it is necessary to construct the upper and lower solutions. Due to such quasimonotonicity conditions, the algorithm for constructing them is more complicated than in previous works on the same topic.
- Добавил в систему: Левашова Наталия Тимуровна