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Solvability of some singularly perturbed semi-linear differential system. (English) Zbl 1199.34280
Summary: We consider the solvability of a singularly perturbed Robin problem of a semi-linear differential system. Using the boundary layer correction method, the formal asymptotic solution is constructed. Finally, the uniform validity of such asymptotic expansions solution is proved.
MSC:
34E15 Singular perturbations, general theory for ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
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