数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 532-542.doi: 10.1016/S0252-9602(13)60017-X

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THE INTERIOR LAYER PHENOMENA FOR A CLASS OF SINGULARLY PERTURBED DELAY-DIFFERENTIAL EQUATIONS

汪娜|倪明康   

  1. Department of Applied Mathematics, Shanghai Institute of Technology, Shanghai 201418, China; Department of Mathematics, East China Normal University, Shanghai 200241, China;Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200030
  • 收稿日期:2011-06-14 出版日期:2013-03-20 发布日期:2013-03-20
  • 基金资助:

    The first author is supported by the National Science Foundation of China (11071075) and Introducing Talents Program of SIT (YJ2013-33).

THE INTERIOR LAYER PHENOMENA FOR A CLASS OF SINGULARLY PERTURBED DELAY-DIFFERENTIAL EQUATIONS

 WANG Na, NI Ming-Kang   

  1. Department of Applied Mathematics, Shanghai Institute of Technology, Shanghai 201418, China; Department of Mathematics, East China Normal University, Shanghai 200241, China;Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200030
  • Received:2011-06-14 Online:2013-03-20 Published:2013-03-20
  • Supported by:

    The first author is supported by the National Science Foundation of China (11071075) and Introducing Talents Program of SIT (YJ2013-33).

摘要:

In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.

关键词: Vector, singular perturbation, delay, interior layer

Abstract:

In this article, we study a kind of vector singularly perturbed delay-differential equation. Using boundary layer function method and geometric analysis skill, the asymptotic expression of the system is constructed and the uniform validity of asymptotic solution is also proved.

Key words: Vector, singular perturbation, delay, interior layer

中图分类号: 

  • 34B15