奇异摄动积分边值问题中的空间对照结构

Abstract

Abstract:

In this paper, we consider the contrast structure solution for singularly perturbed boundary value problem with integral boundary condition. By using geometric singular perturbation theory, as well as analysis technique, we first establish the existence result of step-like contrast structure solution for the corresponding equivalent boundary value problem. Furthermore, by virtue of the structure of the solution, we construct the uniformly valid formal asymptotic solution by the boundary function method. Finally, an example is given to show the main result.

Key words: singular perturbation, asymptotic solution, contrast structure

CLC Number:

O175.14

Limeng Wu, Suhong Li, Mingkang Ni, Haibo Lu. Contrast Structure of Singularly Perturbed Integral Boundary Value Problem[J].Acta mathematica scientia,Series A, 2025, 45(5): 1565-1576.

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Contrast Structure of Singularly Perturbed Integral Boundary Value Problem

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