Singular Perturbations of a Boundary-Value Problem for a System of Nonlinear Differential Equations

Author: Macki, Jack William

Year: 1964

Degree: Dissertation (Ph.D.)

Advisor: Erdélyi, Arthur

Committee Member: Unknown, Unknown

Option: Mathematics; Physics

DOI: 10.7907/WXRP-3F53

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document.

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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