Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (3): 279-282.

• 论文 • 上一篇    下一篇

INITIAL VALUE PROBLEM FOR HIGH DIMENSIONAL DYNAMIC SYSTEMS

朱长江   

  1. Inst. of Math. Scis., Academia Sinica, Wuhan 430071
  • 收稿日期:1994-07-24 出版日期:1995-03-18 发布日期:1995-03-18
  • 基金资助:

    Project supported by the National Youth Science Foundation of China

INITIAL VALUE PROBLEM FOR HIGH DIMENSIONAL DYNAMIC SYSTEMS

Zhu Chang-jiang   

  1. Inst. of Math. Scis., Academia Sinica, Wuhan 430071
  • Received:1994-07-24 Online:1995-03-18 Published:1995-03-18
  • Supported by:

    Project supported by the National Youth Science Foundation of China

摘要: In this paper. we prove the existence of the global classical solutions and the uniform stability of the zero solution to the initial value problem for a class of high dimensional dynamic systems which contain the degenerate case.

关键词: limited domain, stream function, velocity potential, iteration and adjustment, convergence, maximum principle, global classical solution, uniform stability

Abstract: In this paper. we prove the existence of the global classical solutions and the uniform stability of the zero solution to the initial value problem for a class of high dimensional dynamic systems which contain the degenerate case.

Key words: limited domain, stream function, velocity potential, iteration and adjustment, convergence, maximum principle, global classical solution, uniform stability

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