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.

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

• Rev Recd Date: 1996-04-15
• Publish Date: 1996-11-15
• 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(ξ12,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.
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