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SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS
作者姓名:章国华  林宗池
摘    要:In this paper we consider the boundary value problem where ε.μ are two positive parameters. Under f_y≤-k<0 and other suitable restrictions, there exists a solution and it satisfied where y_(0,0)(x) is solution of reduced problem while y_i-j,j(x)(j=0,1,...,i;i=1,2,...,m) can be obtained successively from certain linear equations.

收稿时间:1984-02-05

SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS
K. W. Chang,Lin Zong-chi.SINGULAR PERTURBATION OF NONLINEAR BOUNDARY VALUE PROBLEMS[J].Applied Mathematics and Mechanics(English Edition),1984,5(5):1571-1579.
Authors:K W Chang  Lin Zong-chi
Institution:1. University of Calgary, Canada;2. Fujian Normal University, China
Abstract:In this paper we consider the boundary value problemwhere 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 y1-j,j(x)(j=0,1…,i;i=1,2…,m)'can be obtained successively from certain linear equations.
Keywords:
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