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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 4(78), Pages 78–88 (Mi vsgu171)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Iterative method for approximate construction of slow integral manifolds

E. A. Tropkina

Dept. of Differential Equations and Control Theory, Samara State University, Samara, 443011, Russia
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Abstract: The paper is devoted to the application of integral manifolds method for the investigation of singularly perturbed ordinary differential systems. When the method of integral manifolds is used to solve a specific problem, a central question is the calculation of the function in terms of the manifold described. The iterative method of construction of integral manifolds is proposed and the comparison of this method with others is also made.
Keywords: integral manifolds, singular perturbations, iterative method, asymptotic expansion.
Received: 03.02.2010
Revised: 03.02.2010
Document Type: Article
UDC: 517.928
Language: Russian
Citation: E. A. Tropkina, “Iterative method for approximate construction of slow integral manifolds”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 4(78), 78–88
Citation in format AMSBIB
\Bibitem{Tro10}
\by E.~A.~Tropkina
\paper Iterative method for approximate construction of slow integral manifolds
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 4(78)
\pages 78--88
\mathnet{http://mi.mathnet.ru/vsgu171}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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