@article{884c0310b59d4f05a17a351471a391a3, title = "On an internal boundary layer problem", abstract = "In this paper, we consider the boundary value problem εy″+ a(x)y′ + b(x)y = 0, x ∈ [x-,x+], x- <0 +, y(x-) = A, y(x+) = B, where A and B are two prescribed constants, and 0 <ε ≪ 1 is a small positive parameter. As x → 0, it is assumed that a(x) ~ αx and b(x) ~ β, where α > 0 and β/α ≠ 1,2,3,... . Under certain smoothness conditions on a(x) and b(x), an asymptotic solution is constructed, which holds uniformly for x ∈ [x-,x+]. This result is proved rigorously by using the method of successive approximation. {\textcopyright} 2002 Elsevier Science B.V. All rights reserved.", author = "R. Wong and Heping Yang", year = "2002", month = jul, day = "1", doi = "10.1016/S0377-0427(01)00569-6", language = "English", volume = "144", pages = "301--323", journal = "Journal of Computational and Applied Mathematics", issn = "0377-0427", publisher = "ELSEVIER SCIENCE BV", number = "1-2", }