BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

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

BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

张祥

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

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/Abstract

摘要： In this paper, we consider the vector nonlinear boundary value problem:εy^γ=f(x,y,z,y',ε), y(0)=A₁ y(1)=B₁ εz^γ=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:εy^γ=f(x,y,z,y',ε), y(0)=A₁ y(1)=B₁ εz^γ=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

张祥. BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1067-1074.

Zhang Xiang . BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM[J]. Applied Mathematics and Mechanics (English Edition), 1990, 11(11): 1067-1074.

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BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

BOUNDARY AND INTERIOR LAYER BEHAVIOR FOR SINGULARLY PERTURBED VECTOR PROBLEM

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