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

Dmitrii CHAIKOVSKII; NI Mingkang

doi:10.3969/j.issn.1000-5641.201911043

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Mar. 2020

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

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

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

doi: 10.3969/j.issn.1000-5641.201911043

1.
School of Mathematical Sciences, East China Normal University, Shanghai　200241, China

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Corresponding author: xiaovikdo@163.com
Received Date: 2019-10-17
Publish Date: 2020-03-01

Abstract

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.
- singular perturbation,
- asymptotic approximation,
- Robin boundary value condition,
- internal layer

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References(5)

References

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