Abstract: By means of the theory of singularly perturbation, Robin problems of a class of strongly nonlinear equations are considered. T he infection of the boundary condition on the asymptotic behavior of the solution of the problem is studied. Under suitable conditions and according to the different regions of the boundary values, the asymptotic expansions of the solution are obtained simply and conveniently. This paper provides a valid method to obta in asymptotic solution for a class of nonlinear problems.

Key words: strongly nonlinear, singular perturbation, boundary con dition, asymptotic behavior