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http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/229
Title: | Singularly perturbed linear boundary value problems |
Authors: | Kathirkamanayagan, M Ladde, G.S |
Issue Date: | Aug-1992 |
Abstract: | In this paper an alternative approach to the method of asymptotic expansions for the study of a singularly perturbed linear system with multiparameters and multiple time scales is developed. The method consists of developing a non-singular linear transformation that transforms an arbitrary n-time scale system into diagonal form. This fast and slow mode decomposition provides a modern technique to find an approximate solution of the original system in terms of the solution of an auxiliary system corresponding to the decoupled system. Furthermore, the decoupled system provides a useful mechanism to relate the asymptotic behavior of the solution of the original system and the solution of the degenerate system relative to the original system. |
URI: | http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/229 |
ISSN: | 0022247X |
Appears in Collections: | Mathematics and Statistics |
Files in This Item:
File | Description | Size | Format | |
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3.Kathirkamanayagan-Singularly perturbed linear boundary value problems.pdf | 171.19 kB | Adobe PDF | View/Open |
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