Minimizing Sequence of Variational Problems With Small Parameters

NI Ming-kang; LIN Wu-zhong

doi:10.3879/j.issn.1000-0887.2009.06.003

Volume 30 Issue 6

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2009 > 30(6): 648-654

NI Ming-kang, LIN Wu-zhong. Minimizing Sequence of Variational Problems With Small Parameters[J]. Applied Mathematics and Mechanics, 2009, 30(6): 648-654. doi: 10.3879/j.issn.1000-0887.2009.06.003

Citation:

NI Ming-kang, LIN Wu-zhong. Minimizing Sequence of Variational Problems With Small Parameters[J]. Applied Mathematics and Mechanics, 2009, 30(6): 648-654. doi: 10.3879/j.issn.1000-0887.2009.06.003

Citation:

NI Ming-kang, LIN Wu-zhong. Minimizing Sequence of Variational Problems With Small Parameters[J]. Applied Mathematics and Mechanics, 2009, 30(6): 648-654. doi: 10.3879/j.issn.1000-0887.2009.06.003

PDF( 227 KB)

Minimizing Sequence of Variational Problems With Small Parameters

doi: 10.3879/j.issn.1000-0887.2009.06.003

NI Ming-kang^1,2,
LIN Wu-zhong^1,2

1.
Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China;

Received Date: 2008-12-28
Rev Recd Date: 2009-04-13
Publish Date: 2009-06-15

Abstract

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

FullText(HTML)

References(6)

References

[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.