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Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (2): 189-196.

• 论文 • 上一篇    

ON THE NEW FORMS OF THE DIFFERENTIAL EQUATIONS OF THE SYSTEMS WITH HIGHER-ORDER NONHOLONOMIC CONSTRAINTS

申泽淳1, 梅凤翔2   

  1. 1. Angang Engineering Institute for Staff and Workers, Anshan;
    2. Beijing Institute of Technology, Beijing
  • 收稿日期:1985-10-16 出版日期:1987-02-18 发布日期:1987-02-18

ON THE NEW FORMS OF THE DIFFERENTIAL EQUATIONS OF THE SYSTEMS WITH HIGHER-ORDER NONHOLONOMIC CONSTRAINTS

Shen Ze-chun1, Mei Feng-xiang2   

  1. 1. Angang Engineering Institute for Staff and Workers, Anshan;
    2. Beijing Institute of Technology, Beijing
  • Received:1985-10-16 Online:1987-02-18 Published:1987-02-18

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摘要： In this paper, the new forms of the differential equations of motion of the systems with higher-order nonholonomic constraints are obtained at first, and then the equivalence between these equations and the known equations is demonstrated. Finally an example is given to illustrate the application of our new equations.

关键词: evolution inclusion, semi-linear differential inclusion, periodic solution, continuous selector, compact operator, fixed point

Abstract: In this paper, the new forms of the differential equations of motion of the systems with higher-order nonholonomic constraints are obtained at first, and then the equivalence between these equations and the known equations is demonstrated. Finally an example is given to illustrate the application of our new equations.

Key words: evolution inclusion, semi-linear differential inclusion, periodic solution, continuous selector, compact operator, fixed point

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