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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 87–94
(Mi tm279)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/tm279 https://www.mathnet.ru/eng/tm/v236/p87
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Abstract page: | 226 | Full-text PDF : | 84 | References: | 43 |
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