Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1067-1074.

• 论文 • 上一篇    下一篇

BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

张祥   

  1. Anhui Normal University, Wuhu
  • 收稿日期:1988-12-12 出版日期:1990-11-18 发布日期:1990-11-18
  • 基金资助:
    The Project Supported by the National Natural Science Foundations of China.

BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

Zhang Xiang   

  1. Anhui Normal University, Wuhu
  • Received:1988-12-12 Online:1990-11-18 Published:1990-11-18
  • Supported by:
    The Project Supported by the National Natural Science Foundations of China.

摘要: In this paper, we consider the vector nonlinear boundary value problem:εyγ=f(x,y,z,y',ε), y(0)=A1 y(1)=B1 εzγ=f(x,y,z,z',ε), z(0)=A2 z(1)=B2where ε>0 is a small parameter,0≤x≤1 ƒ and g are continuous functions in R4 Under appropriate assumptions, by means of the differential inequalities, we demonstrate the existence and estimation, involving boundary and interior layers, of the solutions to the above problem.

关键词: singular perturbation, differential inequality, boundary layer, inner layer

Abstract: In this paper, we consider the vector nonlinear boundary value problem:εyγ=f(x,y,z,y',ε), y(0)=A1 y(1)=B1 εzγ=f(x,y,z,z',ε), z(0)=A2 z(1)=B2where ε>0 is a small parameter,0≤x≤1 ƒ and g are continuous functions in R4 Under appropriate assumptions, by means of the differential inequalities, we demonstrate the existence and estimation, involving boundary and interior layers, of the solutions to the above problem.

Key words: singular perturbation, differential inequality, boundary layer, inner layer

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals