Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System

Chen Songlin

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Chen Songlin. Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1033-1038.

Citation:

Chen Songlin. Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1033-1038.

Citation:

Chen Songlin. Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System[J]. Applied Mathematics and Mechanics, 1996, 17(11): 1033-1038.

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Singular Perturbation for a Nonlinear Boundary Value Problem of First Order System

Chen Songlin

East China institute of Metallurgu, Maanshan, Anhui 243002, P. R. Chfna

Received Date: 1984-04-08
Rev Recd Date: 1996-04-15
Publish Date: 1996-11-15

Abstract

Abstract

In this paper, we study the following perturbed nonlinear boundary value problem of the form:εx'=f(t,x,y,ε)εy'=g(t,x,y,ε)x(0)= A(ξ₁,ξ₂,x(1) -x(0),y(1)- y(0),ε)y(0)=B(ξ₁, ξ₂,x(1)-x(0),y(1)-g(0),ε) where ξ₁, ξ₂ are functions of ε. 0<ε<<1. Under some suitable conditions, we give the asymptotic expansion of solution of any order, and obtain the estimation of remaindet term by using the comparison theorem.
- nonlinear boundary value,
- singular perturbation,
- comparisontheorem,
- asymptotic expansion

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References(7)

References

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