2012•College MathematicsRequires access

A Class of Nonlinear Singularly Perturbed Problems with Changed Position of Boundary Layer

Cheng Ouyang

Abstract

A class of boundary value problems of nonlinear singular perturbation is discussed using the matching asymptotic expanding method.The conclusions that the problem must have one of the boundary layer at left,right and interior(where the left boundary layer has two different types and also the right) are obtained through the classified discussion of the five different value of parameter.Then,the zero order asymptotic solutions of the problems are given,and the result that has been known is improved and generalized.

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Key concepts: Mathematics, Singular perturbation, Mathematical analysis, Method of matched asymptotic expansions, Nonlinear system, Boundary layer, Boundary value problem, Class (philosophy)