Singular Perturbation of Nonlinear Boundary Value Problem

K. W. Chang; Lin Zong-chi

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K. W. Chang, Lin Zong-chi. Singular Perturbation of Nonlinear Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1984, 5(5): 603-612.

Citation:

K. W. Chang, Lin Zong-chi. Singular Perturbation of Nonlinear Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1984, 5(5): 603-612.

Citation:

K. W. Chang, Lin Zong-chi. Singular Perturbation of Nonlinear Boundary Value Problem[J]. Applied Mathematics and Mechanics, 1984, 5(5): 603-612.

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Singular Perturbation of Nonlinear Boundary Value Problem

K. W. Chang¹,
Lin Zong-chi²

1.
University of Calgary, Canada;
2.
Fujian Normal University, Fuzhou

Received Date: 1984-02-05
Publish Date: 1984-10-15

Abstract

Abstract

In this paper we consider the boundary value problemwhere εy"=f(x,y,y',ε,μ)(μ0(ε,μ)y(x,ε,μ)|(x=1-μ)=φ₁(ε,μ) where ε,µ,are two positive parameters. Under ƒy'≤-k<0 and other suitable restrictions,there exists a solution and it satisfied where yo,o(x) is solution of reduced problem ƒ(x,y,y')=0(01(0,0) while y_1-j,j(x)(j=0,1…,i;i=1,2…,m)'can be obtained successively from certain linear equations.

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References(12)

References

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