Generalized Weierstrass Condition in the Classical Calculus of Variations

We study the extremals of problems of the classical calculus of variations. We obtain a new necessary condition for a strong minimum under the assumption that the Weierstrass and Legendre conditions degenerate, i.e., are satisfied as equalities, on the extremal under study; this condition is called a generalized Weierstrass condition. We also give a modified condition that is a necessary condition for a weak minimum. © 2019, Pleiades Publishing, Ltd.

Авторы
Arutyunov A.V. 1, 2, 3
Журнал
Номер выпуска
1
Язык
Английский
Страницы
75-83
Статус
Опубликовано
Том
55
Год
2019
Организации
  • 1 Lomonosov Moscow State University, Moscow, 119991, Russian Federation
  • 2 Peoples’ Friendship University of Russia, Moscow, 117198, Russian Federation
  • 3 Derzhavin Tambov State University, Tambov, 392000, Russian Federation
Дата создания
19.07.2019
Дата изменения
19.07.2019
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/39029/
Поделиться

Другие записи