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.
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
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