Singular perturbations of a boundary-value problem for a system of nonlinear differential equations

Citation

Macki, Jack William (1964) Singular perturbations of a boundary-value problem for a system of nonlinear differential equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/WXRP-3F53. https://resolver.caltech.edu/CaltechETD:etd-09302002-105202

Abstract

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The nonlinear boundary-value problem [...] is examined, under the hypothesis that the degenerate problem [...], has a continuously differentiable solution. Under a series of assumptions concerned, for the most part, with the smoothness of the functions f and g, it is proved that, for [...] restricted to a small enough interval of the form [...], the above boundary-value problem has a solution of the form [...], where p and q are both 0(1) uniformly in t as [...] goes to zero, while [...] and [...] exhibit a boundary-layer type of behavior.

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