数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (S1): 39-52.

• Articles • 上一篇    下一篇

TIME DEPENDENT ELASTIC SYSTEM

李胜家   

  1. Department of Mathematics, Shanxi University, Taiyuan 030006, China
  • 收稿日期:1992-05-08 修回日期:1993-08-19 出版日期:1995-12-31 发布日期:1995-12-31
  • 基金资助:
    This work is supported by the Tian yuen Foundation, the Science Foundation of Shanxi Province and Shanxi Youth Foundation.

TIME DEPENDENT ELASTIC SYSTEM

Li Shengjia   

  1. Department of Mathematics, Shanxi University, Taiyuan 030006, China
  • Received:1992-05-08 Revised:1993-08-19 Online:1995-12-31 Published:1995-12-31
  • Supported by:
    This work is supported by the Tian yuen Foundation, the Science Foundation of Shanxi Province and Shanxi Youth Foundation.

摘要: In this paper, we structure an evolution system U(t,s), 0 ≤ st< ∞, and prove that the hyperbolic equation corresponding to the elastic vibration caused by the slender fiying vehicle exists a unique solution and also give the asymptotic behavior of the solution.

关键词: Elastic vibration, Damping, Asymptotic stability

Abstract: In this paper, we structure an evolution system U(t,s), 0 ≤ st< ∞, and prove that the hyperbolic equation corresponding to the elastic vibration caused by the slender fiying vehicle exists a unique solution and also give the asymptotic behavior of the solution.

Key words: Elastic vibration, Damping, Asymptotic stability