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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 87–94 (Mi tm279)  
This article is cited in 1 scientific paper (total in 1 paper)

On the Defining Boundary Conditions of Elliptic Boundary Value Problems with a Small Parameter at the Highest Derivatives

S. A. Golopuz

Vladimir State University
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Abstract: The concepts of associated and defining boundary conditions are introduced for elliptic boundary value problems with a small parameter at the highest derivatives. An explicit expression is obtained for the associated boundary conditions in the case when the difference between the orders of the perturbed and degenerate equations is equal to 4. Theorems on asymptotic expansion are proved.
Received in December 2000
Bibliographic databases:
UDC: 517.956.226
Language: Russian
Citation: S. A. Golopuz, “On the Defining Boundary Conditions of Elliptic Boundary Value Problems with a Small Parameter at the Highest Derivatives”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 87–94; Proc. Steklov Inst. Math., 236 (2002), 78–85
Citation in format AMSBIB
\Bibitem{Gol02}
\by S.~A.~Golopuz
\paper On the Defining Boundary Conditions of Elliptic Boundary Value Problems with a~Small Parameter at the Highest Derivatives
\inbook Differential equations and dynamical systems
\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2002
\vol 236
\pages 87--94
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm279}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931009}
\zmath{https://zbmath.org/?q=an:1125.35337}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2002
\vol 236
\pages 78--85
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