Monotone iterative technique for singular perturbation problem

In this paper, we extend the monotone iterative technique to the singular perturbation problem. We construct, under suitable conditions, monotone sequences of lower and upper approximate solutions which converge uniformly and monotonically to the coupled minimal and maximal solutions of the singular...

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Bibliographic Details
Published in:Applied mathematics and computation 2002-09, Vol.131 (2), p.559-571
Main Author: KAMAR, Ahmed R. Abd-Ellateef
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Monotone iterative technique
Ordinary differential equations
Sciences and techniques of general use
Singular perturbation problem
Upper and lower solutions
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Summary:In this paper, we extend the monotone iterative technique to the singular perturbation problem. We construct, under suitable conditions, monotone sequences of lower and upper approximate solutions which converge uniformly and monotonically to the coupled minimal and maximal solutions of the singular perturbation problem.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(01)00169-2