华东师范大学学报(自然科学版) ›› 2016, Vol. 2016 ›› Issue (3): 27-38.doi: 2016.03.004

• 数学 • 上一篇    下一篇

 一类带有界面条件的奇异摄动弱非线性边值问题

 吴成龙   

  1. 东华大学~~应用数学系, 上海  201620
  • 收稿日期:2015-05-22 出版日期:2016-05-25 发布日期:2016-09-22
  • 通讯作者: 吴成龙,男，硕士研究生, 研究方向为奇异摄动理论. E-mail:2131377@mail.dhu.edu.cn
  • 作者简介:吴成龙,男，硕士研究生, 研究方向为奇异摄动理论.
  • 基金资助:

    上海市自然科学基金(15ZR1400800)

A class of singularly perturbed weakly nonlinear boundary\\[2mm] value problems with interface conditions

 WU  Cheng-Long   

  • Received:2015-05-22 Online:2016-05-25 Published:2016-09-22

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摘要： 研究了带有界面条件的弱非线性边值问题,借助Schauder不动点定理建立带有界面条件的弱非线性边值问题的上下解理论,通过边界层函数法构造形式渐近解, 证明解的存在性.

关键词: 奇异摄动, 渐近展开, 微分不等式

Abstract: In this paper we study a class of weakly nonlinear boundary value problems with interface conditions. By means of the Schauder fixed point theorem we establish the theorem about a weakly nonlinear boundary value problem with interface conditions. By the method of boundary layer function, the formal asymptotic solution is constructed, which is used to prove the existence of the solution

Key words: singular perturbation, asymptotic expansion, differential inequalities

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