Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (11): 1455-1460.doi: https://doi.org/10.1007/s10483-009-1111-x

• Articles • 上一篇    下一篇

A class of singular perturbation solutions to semilinear equations of fourth order

莫嘉琪1,2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200240, P. R. China
  • 收稿日期:2009-07-03 修回日期:2009-09-17 出版日期:2009-12-02 发布日期:2009-11-03

A class of singular perturbation solutions to semilinear equations of fourth order

MO Jia-Qi1,2   

  1. 1. Department of Mathematics, Anhui Normal University, Wuhu 241000,Anhui Province, P. R. China;
    2. Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200240, P. R. China
  • Received:2009-07-03 Revised:2009-09-17 Online:2009-12-02 Published:2009-11-03

PDF

1521

摘要： A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existence and the asymptotic behavior of the solution to the boundary value problem are studied. In the present paper, the solution to the original singularly perturbed problem with two parameters has only one boundary layer.

关键词: nonlinear, two parameters, singular perturbation, lower and upper solutions

Abstract: A class of singularly perturbed boundary value problems for semilinear equations of fourth order with two parameters are considered. Under suitable conditions, using the method of lower and upper solutions, the existence and the asymptotic behavior of the solution to the boundary value problem are studied. In the present paper, the solution to the original singularly perturbed problem with two parameters has only one boundary layer.

Key words: nonlinear, two parameters, singular perturbation, lower and upper solutions

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn