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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 224, Pages 187–207 (Mi tm699)  
This article is cited in 13 scientific papers (total in 14 papers)

Solution to Singularly Perturbed Boundary Value Problems by the Duck Hunting Method

A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov
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Abstract: A situation is analyzed when two different curves of slow motion intersect in a general way in a two-dimensional relaxation system. It is shown that this situation gives rise to the so-called duck trajectories. The results of the analysis are applied to the construction of the asymptotics of the principal eigenvalue of the Dirichlet problem for a singularly perturbed Schrödinger equation.
Received in September 1998
Bibliographic databases:
Document Type: Article
UDC: 517.926
Language: Russian
Citation: A. Yu. Kolesov, E. F. Mishchenko, N. Kh. Rozov, “Solution to Singularly Perturbed Boundary Value Problems by the Duck Hunting Method”, Algebra. Topology. Differential equations and their applications, Collection of papers dedicated to the 90th anniversary of academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 224, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 187–207; Proc. Steklov Inst. Math., 224 (1999), 169–188
Citation in format AMSBIB
\Bibitem{KolMisRoz99}
\by A.~Yu.~Kolesov, E.~F.~Mishchenko, N.~Kh.~Rozov
\paper Solution to Singularly Perturbed Boundary Value Problems by the Duck Hunting Method
\inbook Algebra. Topology. Differential equations and their applications
\bookinfo Collection of papers dedicated to the 90th anniversary of academician Lev Semenovich Pontryagin
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 224
\pages 187--207
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1721362}
\zmath{https://zbmath.org/?q=an:0987.34058}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 224
\pages 169--188
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    • This publication is cited in the following 14 articles:
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