数学季刊 ›› 2012, Vol. 27 ›› Issue (3): 403-408.

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一类临界情况的广义非线性奇摄动时滞模型近似解析解

  

  1. Department of Mathematics, East China Normal University; Division of Computational Science, E-Institute of Shanghai Universities at SJTU

  • 收稿日期:2010-12-27 出版日期:2012-09-30 发布日期:2023-03-23
  • 作者简介:WANG Na(1978-), female, native of Wuhu, Anhui, a Ph.D. candidate of East China Normal University, M.S.D., engages in singular perturbation theory and its application.
  • 基金资助:
    Supported by the National Science Foundation of China(11071075)

Approximate Analytic Solution for a Class of Generalized Nonlinear Singularly Perturbed Time-delay Model in the Critical Case 

  1. Department of Mathematics, East China Normal University; Division of Computational Science, E-Institute of Shanghai Universities at SJTU

  • Received:2010-12-27 Online:2012-09-30 Published:2023-03-23
  • About author:WANG Na(1978-), female, native of Wuhu, Anhui, a Ph.D. candidate of East China Normal University, M.S.D., engages in singular perturbation theory and its application.
  • Supported by:
    Supported by the National Science Foundation of China(11071075)

摘要: Based on the boundary layer corrective method, a class of generalized nonlinear perturbed model in the critical case is studied. The asymptotic solution for the original equation is constructed. And the method is of significance to seek approximate solutions to other nonlinear models.

关键词: nonlinear, perturbation, boundary layer, approximate method

Abstract: Based on the boundary layer corrective method, a class of generalized nonlinear perturbed model in the critical case is studied. The asymptotic solution for the original equation is constructed. And the method is of significance to seek approximate solutions to other nonlinear models.

Key words: nonlinear, perturbation, boundary layer, approximate method

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