Fifth Mississippi State Conference on Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 10, 2003, pp. 227-240.

Asymptotic analysis of the Carrier-Pearson problem

Chunqing Lu

Abstract:
This paper provides a rigorous analysis of the asymptotic behavior of the solution for the boundary-value problem
$$\displaylines{ \epsilon ^2u''+u^2-1 =0,\quad -1 less than x less than 1, \cr u(-1) =u(1)=0 }$$
as the parameter $\epsilon$ approaches zero.

Published February 28, 2003.
Subject classifications: 34B15, 34E05, 34E20.
Key words: Boundary layers, interior layer, transcendentally small terms.

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Chunqing Lu
Department of Mathematics and Statistics
Box 1653
Southern Illinois University at Edwardsville
Edwardsville, IL 62026, USA
e-mail: clu@siue.edu

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