A Class of Singularly Perturbed Boundary Value Problems Arising from Catalytic Reactions

摘要

A class of singularly perturbed boundary value problems arising from the catalytic reactions in chemical engineering is observed. That kind of problems exhibits the behavior of nonexponentially decayed boundary layer, and hence the study of asymptotic behavior of their solutions seems more difficult. The uniformly valid asymptotic expansions of solutions as well as their derivatives are given via the upper and lower solutions method, and those estimates seem quite accurate.