Uniformly valid expansions of solutions to nonlinear singularly perturbed boundary value problems. (English) Zbl 0832.34044
Certain new classes of nonlinear singularly perturbed boundary value problem (containing periodic boundary condition as a special case) are considered. By means of the upper and lower solution method by Chaplygin- Nagumo uniformly valid expansions of solutions are obtained.
Reviewer: V.V.Strygin (Voronezh)
MSC:
34E15 | Singular perturbations for ordinary differential equations |
34B15 | Nonlinear boundary value problems for ordinary differential equations |