Abstract
In this paper, we analyze the asymptotic behavior of a nonautonomous nonlinear problem proposed by G. F. Carrier. In addition to its historical interest, this problem presents some unusual features; the internal layers, instead of obeying an approximate equal spacing rule as in the famous “spurious solutions” problem, in fact, coalesce. This feature is revealed by unusual matching that incorporates exponentially small and large terms in the matching process. Symmetry notions also play a role in understanding this interesting phenomenon. The asymptotics are compared with full numerical solutions.
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