Document Type
Article
Publication Date
1-1-1991
Publication Title
Journal of Differential Equations
Abstract
We present in this paper the asymptotic behavior of solutions of a boundary value problem for a coupled system of differential equations u″ = ν, εν″ + f(u, u′)ν′ - g(x, u, u′)ν = 0 on a compact interval I, where f(u, u′) has turning points in I. We provide upper and lower solutions, β(x, ε) and α(x, ε), respectively, which bound solutions, exhibiting boundary layer and interior layer behavior, for which limε → 0+ {β(x, ε) - α(x, ε)} = 0 uniformly on I.
Repository Citation
Harris, W. A. and Shao, S., "Refined Approximations of the Solutions of a Coupled System with Turning Points" (1991). Mathematics and Statistics Faculty Publications. 333.
https://engagedscholarship.csuohio.edu/scimath_facpub/333
DOI
10.1016/0022-0396(91)90067-J
Version
Postprint
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Volume
92
Issue
1
