2014•Yingyong shuxue yu jisuan shuxue xuebaoRequires access

Asymptotic solution of second-order nonlinear singularly perturbed differential equation

Jia Yin

Abstract

The boundary value problem for a second-order nonlinear singularly perturbed differential equation is discussed.By using the methods of matching techniques and differential inequalities,the asymptotic solution to the first-order nonlinear problem is obtained.Then,the asymptotic estimate of the solution to the second-order nonlinear singularly perturbed problem is obtained.

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Key concepts: Mathematics, Method of matched asymptotic expansions, Nonlinear system, Mathematical analysis, Order (exchange), Boundary value problem, Singular perturbation, Differential equation