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具有不连续源的奇摄动边值问题
  • 摘要

    本文研究了具有不连续源的奇摄动边值问题.利用边界层函数法和缝接法,得到了整个区间上原问题解的一致有效的渐近表达式.

  • 作者

    丁海云  倪明康  DING Hai-yun  NI Ming-kang 

  • 作者单位

    华东师大数学系,上海200062;上海海事大学数学系,上海200135/上海海事大学数学系,上海200135;上海高校计算科学E-研究院上海交大研究所,上海200240

  • 刊期

    2012年6期 ISTIC PKU

  • 关键词

    奇摄动  渐近级数  边界层函数法  微分流形 

参考文献
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  • [4] Farrel P A;Miller J J;O'Riordan E. Singularly perturbed convection diffusion problems with boundary and weak interior layers. Australia:University of Westrm Australia, 2002
  • [5] 马知恩;周义仓. 常微分方程定性与稳定性方法. 北京:科学出版社, 2001
  • [6] Horn R A;Johson C R. Topics in matrix analysis. Cambridge:Cambridge University Press, 1991
  • [7] Esipova V A. Asymptotic properties of general boundary value problems for singularly perturbed conditionally stable systems of ordinary differential equations. Differential Equations, 1975,11
  • [8] Vasil'eva A B;Butuzov V F;Kalachev L V. The boundary function method for singular perturbation problems. Philadelphia:SIAM, 1995
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