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A study on the Lagrangian image of the Birkhoffian representations

Ding Guang-Tao

A study on the Lagrangian image of the Birkhoffian representations

Ding Guang-Tao
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(PLEASE TRANSLATE TO ENGLISH

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Publishing process
  • Received Date:  14 March 2009
  • Accepted Date:  27 March 2009
  • Published Online:  15 January 2010

A study on the Lagrangian image of the Birkhoffian representations

  • 1. 安徽师范大学物理与电子信息学院,芜湖 241000

Abstract: The Lagrangian image of the Birkhoffian representations is studied. The conditions that the second-order Lagrangians should satisfy are obtained, under which the generalized Lagrange equations are second-order differential equations. A new way for solving the inverse problem in Lagrange mechanics is presented. An error made in the study by some author is pointed out. Two examples are given to illustrate the application of the result.

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