数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (4): 438-445.

• 论文 • 上一篇    下一篇

A CLASS OF SINGULARLY PERTURBED NONLINEAR ROBIN PROBLEMS

赵为礼   

  1. Department of Mathematics, Jilin University, Changchun 130023, China
  • 收稿日期:1992-09-14 修回日期:1993-03-09 出版日期:1994-12-25 发布日期:1994-12-25
  • 基金资助:
    Project Supported by the National Natural Science Foundation of China.

A CLASS OF SINGULARLY PERTURBED NONLINEAR ROBIN PROBLEMS

Zhao Weili   

  1. Department of Mathematics, Jilin University, Changchun 130023, China
  • Received:1992-09-14 Revised:1993-03-09 Online:1994-12-25 Published:1994-12-25
  • Supported by:
    Project Supported by the National Natural Science Foundation of China.

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摘要： In this paper, taking the search of steady state solutions of one-dimension reactiondiffusion problems as the background, we study the existence and asymptotic estimates of solutions of the singularly perturbed Robin problem
a (x, ε)y"=f(x,y,y',ε),
a0y(0,ε)-b0y' (0 ε)=A0, a1y(1,ε) + b1y' (1,ε)=A1,where it is assumed that fy'≡0 or fy'≢0 and fy' ≤ 0.

Abstract: In this paper, taking the search of steady state solutions of one-dimension reactiondiffusion problems as the background, we study the existence and asymptotic estimates of solutions of the singularly perturbed Robin problem
a (x, ε)y"=f(x,y,y',ε),
a0y(0,ε)-b0y' (0 ε)=A0, a1y(1,ε) + b1y' (1,ε)=A1,where it is assumed that fy'≡0 or fy'≢0 and fy' ≤ 0.

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