Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 1989, Vol. 10 ›› Issue (6): 577-581.

• 论文 • 上一篇    

THE ASYMPTOTIC EXPANSIONS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS

周钦德, 李勇   

  1. Dept. of Math., Jilin Univ., Changchun
  • 收稿日期:1986-09-17 出版日期:1989-06-18 发布日期:1989-06-18

THE ASYMPTOTIC EXPANSIONS OF SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS

Zhou Qin-de, Li Yong   

  1. Dept. of Math., Jilin Univ., Changchun
  • Received:1986-09-17 Online:1989-06-18 Published:1989-06-18

PDF

310

摘要： In this paper we study the singularly penurbed boundary value problem: εy"=f(t,y,ε), y(0)=ξ(ε),y(1)=η(ε), where ε is a positive small parameter In the conditions:fy(0,y,0)≥m,fy(1,y,0)≥m0 and fy(t,y,ε)≥, we prove the existences, and uniformly valid asymptotic expansions of solutions for the given boundary value problems, and hence we improve the existing results.

Abstract: In this paper we study the singularly penurbed boundary value problem: εy"=f(t,y,ε), y(0)=ξ(ε),y(1)=η(ε), where ε is a positive small parameter In the conditions:fy(0,y,0)≥m,fy(1,y,0)≥m0 and fy(t,y,ε)≥, we prove the existences, and uniformly valid asymptotic expansions of solutions for the given boundary value problems, and hence we improve the existing results.

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