Cauchy Problem for a Singularly Perturbed Delay Equation

Авторы: Levashova N.Т., Mikheev N.А.
Журнал: Moscow University Physics Bulletin
Том: 78
Номер: 5
Год издания: 2023
Издательство: Allerton Press
Местоположение издательства: New York, N.Y., United States
Первая страница: 595
Последняя страница: 602
DOI: 10.3103/S0027134923050107
Аннотация: In the study, the Cauchy problem for a singularly perturbed first-order ordinary differential equationis considered, with, generally speaking, a nonlinear right-hand side that depends not only onthe desired function but also on this same function taken with a time delay. The problem underconsideration is singularly perturbed due to the presence of a small parameter in front of the timederivative. For such problems, solutions that possess a large gradient in the vicinity of the initialtime moment and in the vicinity of the moment equal to the delay time are typical. The aim of thework is to construct an asymptotic approximation and to prove the existence of a smooth solutionto the problem.
Добавил в систему: Левашова Наталия Тимуровна

	ИСТИНА	Войти в систему Регистрация
	ИПМех РАН
	Главная Поиск Статистика О проекте Помощь

ИСТИНА