Mathematics

Internal layers for a singularly perturbed differential equation with Robin boundary value condition

  • CHAIKOVSKII Dmitrii ,
  • Mingkang NI
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  • School of Mathematical Sciences, East China Normal University, Shanghai 200241, China

Received date: 2019-10-17

  Online published: 2020-03-16

Abstract

In this paper, we consider a second order singularly perturbed equation with a discontinuous right-hand function and Robin boundary value condition. Applying the boundary layer function method, we can construct an asymptotical approximation of the solution. We also prove the existence of the solution and obtain an estimation of the remainder based on the matching method.

Cite this article

CHAIKOVSKII Dmitrii , Mingkang NI . Internal layers for a singularly perturbed differential equation with Robin boundary value condition[J]. Journal of East China Normal University(Natural Science), 2020 , 2020(2) : 23 -34 . DOI: 10.3969/j.issn.1000-5641.201911043

References

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