JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 59-65.doi: 10.6040/j.issn.1671-9352.0.2017.343

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Approximation of stochastic vibration equations with variable damping

ZHANG Ya-juan, LYU Yan*   

  1. College of Science, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
  • Received:2017-06-30 Online:2018-04-20 Published:2018-04-13

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Abstract: The approximation of a stochastic vibration equation with variable damping and singular perturbation is studied in this paper. It is proved that when the singular perturbation tends to 0, the solution of the original equation is approximated by the solution of the corresponding deterministic equation.

Key words: approximation, stochastic vibration equation, variable damping

CLC Number: 

  • O211.63
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