Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 675-682.

• 论文 • 上一篇    下一篇

PERIODIC VIABLE TRAJECTORIES OF DIFFERENTIAL INCLUSIONS

王志华   

  1. Institute of Finance, Shangdong Electric Power College, Jinan 250002, P. R. China
  • 收稿日期:1997-01-23 修回日期:1998-11-10 出版日期:1999-06-18 发布日期:1999-06-18

PERIODIC VIABLE TRAJECTORIES OF DIFFERENTIAL INCLUSIONS

Wang Zhihua   

  1. Institute of Finance, Shangdong Electric Power College, Jinan 250002, P. R. China
  • Received:1997-01-23 Revised:1998-11-10 Online:1999-06-18 Published:1999-06-18

摘要: In this paper,the periodic viable trajectories of differential inclusions are discussed.Firstly,a simplified property of differential inclusions is given. Then,an existence theorem of periodic viable trajectories of differential inclu sions in a finite dimensional space is proved.With the above results and Galerkin.s approximation,an existence theorem of periodic viable trajectories of partial differential inclusions in a Hilbert space is proved.

Abstract: In this paper,the periodic viable trajectories of differential inclusions are discussed.Firstly,a simplified property of differential inclusions is given. Then,an existence theorem of periodic viable trajectories of differential inclu sions in a finite dimensional space is proved.With the above results and Galerkin.s approximation,an existence theorem of periodic viable trajectories of partial differential inclusions in a Hilbert space is proved.

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