Please use this identifier to cite or link to this item: 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

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