Abstract: The method of boundary function was used to construct uniformly valid
asymptotic solutions of the Robin problem of a class of semilinear singularly perturbed
equations, which are often used as models for chemical reactions. At the same time the
existence and uniqueness of the solution and the estimation of the remainder for the
problem were given.

Key words: boundary functions, stable manifold, asymptotic solution , singular perturbation, boundary functions, stable manifold, asymptotic solution