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On Step-Like Contrast Structure of Singularly Perturbed Systems
- Source :
- Boundary Value Problems, Vol 2009 (2009)
- Publication Year :
- 2009
- Publisher :
- SpringerOpen, 2009.
-
Abstract
- The existence of a step-like contrast structure for a class of high-dimensional singularly perturbed system is shown by a smooth connection method based on the existence of a first integral for an associated system. In the framework of this paper, we not only give the conditions under which there exists an internal transition layer but also determine where an internal transition time is. Meanwhile, the uniformly valid asymptotic expansion of a solution with a step-like contrast structure is presented.
- Subjects :
- Analysis
QA299.6-433
Subjects
Details
- Language :
- English
- ISSN :
- 16872762 and 16872770
- Volume :
- 2009
- Database :
- Directory of Open Access Journals
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.069d7f742b2a49368cec48701f308932
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2009/634324