数学季刊 ›› 2007, Vol. 22 ›› Issue (2): 175-178.

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非线性奇摄动系统的渐近性态

  


  1. Department of Mathematics Huzhou Teacher’s College,,Huzhou 313000 China

  • 收稿日期:2004-09-25 出版日期:2007-06-30 发布日期:2023-11-01
  • 作者简介: HAN Xiang-lin(1965-), male, native of Zhanhua, Shandong, a profeasor of Huzhou Toacher's College, M.S.D., engages in differential equation.
  • 基金资助:
    Supported by the National Natural Science Foundation(10471039); Supported by the Natural Science Foundation of Zhejiang Province(102009)

The Asymptotic Behavior for a Nonlinear Singularly Perturbed System


  1. Department of Mathematics Huzhou Teacher’s College,,Huzhou 313000 China
  • Received:2004-09-25 Online:2007-06-30 Published:2023-11-01
  • About author: HAN Xiang-lin(1965-), male, native of Zhanhua, Shandong, a profeasor of Huzhou Toacher's College, M.S.D., engages in differential equation.
  • Supported by:
    Supported by the National Natural Science Foundation(10471039); Supported by the Natural Science Foundation of Zhejiang Province(102009)

摘要: The asymptotic behavior of solution for a n-dimensional nonlinear singularly perturbed system is studied. Under the appropriate assumptions, the existence of solution for the system is proved and the estimation of the solution is given using the method of differential inequalities.

关键词: nonlinear system, singular perturbation problem, asymptotic behavior

Abstract: The asymptotic behavior of solution for a n-dimensional nonlinear singularly perturbed system is studied. Under the appropriate assumptions, the existence of solution for the system is proved and the estimation of the solution is given using the method of differential inequalities.

Key words: nonlinear system, singular perturbation problem, asymptotic behavior

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