2010•Advances in MathematicsRequires access

The Asymptotic Behavior of Solutions for a Class of Nonlinear Singularly Perturbed Boundary Value Problem With Two Parameters

Mo Jia-Qi

Abstract

A class of basal model for the nonlinear singularly perturbed boundary value problem with two parameters is studied.Using the singular perturbation method,the structures of solutions for the problem is discussed throughly in three different cases about two small parameters.The asymptotic solutions of the problem are given.The different structures and asymptotic behavior of solutions in the three cases are proved.

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