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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. http://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.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Unknown, Unknown
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 April 1964
Record Number:CaltechETD:etd-09302002-105202
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-09302002-105202
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3827
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:30 Sep 2002
Last Modified:26 Dec 2012 03:03

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