数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (2): 793-799.doi: 10.1016/S0252-9602(12)60059-9
丁海云1,2|倪明康1,3|林武忠1,3|曹扬4
DING Hai-Yun1,2, NI Ming-Kang1,3, LIN Wu-Zhong1,3, CAO Yang4
摘要:
A class of singularly perturbed semi-linear boundary value problems with discontinuous functions is examined in this article. Using the boundary layer function method, the asymptotic solution of such a problem is given and shown to be uniformly effective. The existence and uniqueness of the solution for the system is also proved. Numerical result is presented as an illustration to the theoretical result.
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