带有积分边界条件的奇异摄动边值问题的渐近解

Abstract

Abstract:

In this paper, we consider a class of singularly perturbed boundary value problem with integral boundary condition. Based on the singularly perturbed geometric theory, the existence of step-like contrast structure solution is proved. By virtue of the structure of the solution, we construct the uniformly valid formal asymptotic solution by the boundary layer function method. Finally, an example is given to show the main result.

Key words: Singular perturbation, Asymptotic solution, Boundary layer function method

CLC Number:

O175.14

Limeng Wu,Mingkang Ni,Suhong Li,Haibo Lu. Asymptotic Solution of Singularly Perturbed Boundary Value Problem with Integral Boundary Condition[J].Acta mathematica scientia,Series A, 2020, 40(5): 1192-1203.

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Asymptotic Solution of Singularly Perturbed Boundary Value Problem with Integral Boundary Condition

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