带有小参数变分问题的极小化序列

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

基金项目: 国家自然科学基金资助项目(10671070);上海市教育委员会E-研究院建设资助项目(E03004);上海市重点学科建设资助项目(B407)

Minimizing Sequence of Variational Problems With Small Parameters

Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China;

摘要: 针对一类含有小参数的变分问题构造了零次渐近解,并证明了当小参数趋向于0时，该零次渐近解就是原问题的极小化序列．
- 小参数 /
- 变分问题 /
- 极小化序列
Abstract: A class of variational problems with small parameters had been studied.A zeroth order asymptotic solution of which was constructed.It was proved that the zeroth-order asymptotic solution is the minimizing sequence of variational problems when the small parameter approaches to zero.
- small parameter /
- variational problem /
- minimizing sequence

[1]	Васильева А Б,Бутузов А Ф.Асимптотические Разложения Решений Сингулярно Возмущенных Уравнений[M]. Москва: Наука, 1973.
[2]	Гурман В И.Вырожденные Задачи Оптимального Управления[M].Москва:Наука, 1977.
[3]	Гурман В И.Принцип Расширения в Задачах Управления[M].Москва: Наука, 1997.
[4]	Tikhonov A N.Use of the regularization method in non-linear[J].USSR Comput Math Math Phys,1965,5(3)：93-107. doi: 10.1016/0041-5553(65)90150-3
[5]	Васильева А Б,Вутузов В Ф.Асимптотические Методы в Теории Сингулярных Возмущений[M].Москва:Высшая Школа, 1990.
[6]	Dmitriev M G,NI Ming-kang.Asimptotics of contrast extremals in simplest vector variational problem[J].Automation and Remote Control,1998,（5）:41-52.

点击查看大图