中国物理B ›› 2010, Vol. 19 ›› Issue (11): 110301-110306.doi: 10.1088/1674-1056/19/11/110301

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A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints

张耀宇1, 贾利群2, 解银丽2, 杨新芳2   

  1. (1)Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China; (2)School of Science, Jiangnan University, Wuxi 214122, China
  • 收稿日期:2010-04-08 修回日期:2010-05-04 出版日期:2010-11-15 发布日期:2010-11-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 10572021) and the Preparatory Research Foundation of Jiangnan University of China (Grant No. 2008LYY011).

A type of new conserved quantity deduced from Mei symmetry for Appell equations in a holonomic system with unilateral constraints

Jia Li-Qun(贾利群)a)†, Xie Yin-Li(解银丽)a), Zhang Yao-Yu(张耀宇)b), and Yang Xin-Fang(杨新芳)a)   

  1. a School of Science, Jiangnan University, Wuxi 214122, China; b Electric and Information Engineering College, Pingdingshan University, Pingdingshan 467002, China
  • Received:2010-04-08 Revised:2010-05-04 Online:2010-11-15 Published:2010-11-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 10572021) and the Preparatory Research Foundation of Jiangnan University of China (Grant No. 2008LYY011).

摘要: A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.

Abstract: A type of new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints is investigated. The expressions of new structural equation and new conserved quantity deduced from Mei symmetry of Appell equations for a holonomic system with unilateral constraints expressed by Appell functions are obtained. An example is given to illustrate the application of the results.

Key words: unilateral constraint, Appell equation, Mei symmetry, conserved quantity

中图分类号:  (Partial differential equations)

  • 02.30.Jr
02.30.Sa (Functional analysis)