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Fundam. Prikl. Mat., 1999, Volume 5, Issue 3, Pages 791–800 (Mi fpm421)  

This article is cited in 1 scientific paper (total in 1 paper)

Contrast structures with steps in systems of singularly perturbed equations

A. B. Vasil'eva, V. A. Anikeeva

M. V. Lomonosov Moscow State University

Abstract: A definite system of two second order singularly perturbed equations with the same small parameter is considered. The requirements providing the existence of a contrast structure with steps in both components are formulated and its asymptotic behavior is designed. At the end we give the numerical solution of more general form singular system, which demonstrates the existence of the indicated type contrast structure.

Full text: PDF file (336 kB)

Bibliographic databases:
UDC: 517.958
Received: 01.09.1995

Citation: A. B. Vasil'eva, V. A. Anikeeva, “Contrast structures with steps in systems of singularly perturbed equations”, Fundam. Prikl. Mat., 5:3 (1999), 791–800

Citation in format AMSBIB
\Bibitem{VasAni99}
\by A.~B.~Vasil'eva, V.~A.~Anikeeva
\paper Contrast structures with steps in systems of singularly perturbed equations
\jour Fundam. Prikl. Mat.
\yr 1999
\vol 5
\issue 3
\pages 791--800
\mathnet{http://mi.mathnet.ru/fpm421}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1806855}
\zmath{https://zbmath.org/?q=an:0963.34044}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. B. Vasil'eva, “On periodic solutions of a parabolic problem with a small parameter at the derivatives”, Comput. Math. Math. Phys., 43:7 (2003), 932–943  mathnet  mathscinet  zmath
  • Фундаментальная и прикладная математика
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