ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM

doi:10.1016/S0252-9602(11)60239-7

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 383-398.doi: 10.1016/S0252-9602(11)60239-7

ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM

刘红¹|宋永忠^2*

1.Teaching Group of Mathematics, Zhenjiang Watercraft College of PLA, Zhenjiang 212003, China|2.School of Mathematical Sciences, Nanjing Normal University, Nanjing 210097, China

收稿日期:2007-09-19 修回日期:2010-03-28 出版日期:2011-03-20 发布日期:2011-03-20
通讯作者: 宋永忠 E-mail:hongliu001@sina.com; yzsong@njnu.edu.cn
基金资助:
Project supported by the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China (200720)

ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM

LIU Hong¹, SONG Yong-Zhong^2*

1.Teaching Group of Mathematics, Zhenjiang Watercraft College of PLA, Zhenjiang 212003, China|2.School of Mathematical Sciences, Nanjing Normal University, Nanjing 210097, China

Received:2007-09-19 Revised:2010-03-28 Online:2011-03-20 Published:2011-03-20
Contact: SONG Yong-Zhong E-mail:hongliu001@sina.com; yzsong@njnu.edu.cn
Supported by:
Project supported by the Foundation for the Authors of the National Excellent Doctoral Thesis Award of China (200720)

摘要/Abstract

摘要：

In this article, linear regular index 2 DAEs A(t)[D(t)x(t)]'+B(t)x(t)=q(t) are considered. Using a decoupling technique, initial condition and boundary condition are properly formulated. Regular index 1DAEs are obtained by a regularization method. We study the behavior of the solution of the regularization system via asymptotic expansions. The error analysis between the solutions of the DAEs and its regularization system is given.

关键词: Differential-algebraic equations (DAEs), properly stated leading term, index, regularization

Abstract:

Key words: Differential-algebraic equations (DAEs), properly stated leading term, index, regularization

中图分类号:

34A09

刘红, 宋永忠. ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM[J]. 数学物理学报(英文版), 2011, 31(2): 383-398.

LIU Hong, SONG Yong-Zhong. ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM[J]. Acta mathematica scientia,Series B, 2011, 31(2): 383-398.

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ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM

ON A REGULARIZATION OF INDEX 2 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH PROPERLY STATED LEADING TERM

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