Acta mathematica scientia,Series A ›› 2020, Vol. 40 ›› Issue (5): 1192-1203.

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

Limeng Wu1(),Mingkang Ni2,Suhong Li1,Haibo Lu3   

  1. 1 School of Mathematics and Information Technology, Hebei Normal University of Science and Technology, Hebei Qinhuangdao 066004
    2 School of Mathematical Sciences, East China Normal University, Shanghai 200241
    3 School of Economics and Management, Shanghai Institute of Technology, Shanghai 201418
  • Received:2019-09-27 Online:2020-10-26 Published:2020-11-04
  • Supported by:
    the NSFC(11871217);the NSFC(11901152);the NKRDPC(2019YFC1407903)

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
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