中国科学技术大学学报 ›› 2018, Vol. 48 ›› Issue (5): 357-360.DOI: 10.3969/j.issn.0253-2778.2018.05.002

• 论著 • 上一篇    下一篇

一类非线性奇摄动时滞边值问题的激波解

朱红宝   

  1. 安徽工业大学数理科学与工程学院,安徽马鞍山 243002
  • 收稿日期:2016-10-20 修回日期:2017-05-10 接受日期:2017-05-10 出版日期:2018-05-31 发布日期:2017-05-10
  • 作者简介:朱红宝,男,1975年生,硕士/讲师.研究方向:微分方程的渐近理论.E-mail: zhuhb@ahut.edu.cn
  • 基金资助:
    安徽省高校自然科学研究重点项目 (KJ2016A084)资助.

The shock solution to a class of singularly perturbed time delay nonlinear boundary value problem

ZHU Hongbao   

  1. School of Mathematics and Physics, Anhui University of Technology, Maanshan 243002, China
  • Received:2016-10-20 Revised:2017-05-10 Accepted:2017-05-10 Online:2018-05-31 Published:2017-05-10

摘要: 讨论了一类非线性奇摄动时滞边值问题的激波性态,利用匹配渐近展开法得出了问题解的展开式,并利用微分不等式理论证明了解的一致有效性.

关键词: 非线性, 奇摄动, 时滞, 激波解

Abstract: The shock solution to a class of singularly perturbed time delay nonlinear boundary value problem were considered. The solution was obtained by using the matching asymptotic expansion, and the uniform validity of the solution was proved by the theory of differential inequalities.

Key words: nonlinear, singularly perturbed, time delay, shock solution

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