Second-order conditions in extremal problems. The abnormal points

In this paper we study a minimization problem with constraints and obtain first- and second-order necessary conditions for a minimum. Those conditions -as opposed to the known ones -are also informative in the abnormal case. We have introduced the class of 2-normal constraints and shown that for them the "gap" between the sufficient and the necessary conditions is as minimal as possible. It is proved that a 2-normal mapping is generic. ©1998 American Mathematical Society.

Авторы
Редакторы
-
Издательство
-
Номер выпуска
11
Язык
Английский
Страницы
4341-4365
Статус
Опубликовано
Подразделение
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DOI
-
Номер
-
Том
350
Год
1998
Организации
  • 1 Department of Differentional Equations and Functional Analysis Peoples Friendship, University of Russia, Mikluka-Maklai, 6, Moscow 117198, Russian Federation
Ключевые слова
2-normal mapping; Abnormal point; Index of quadratic form; Lagrange multipliers; Second-order necessary conditions
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/619/