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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.

MSC:

34E15 Singular perturbations for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations