Acta mathematica scientia,Series B ›› 1995, Vol. 15 ›› Issue (S1): 39-52.

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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.

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

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