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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle
S. Z. Djamalov Institute for Mathematics and Information Technologies of the National Academy of Sciences of Uzbekistan
Abstract:
In the present work for the second order mixed-type equation of the second kind we study one-valued solvability and smoothness of the generalized solution of nonlocal boundary value problem with constant coefficients in Sobolev spaces.
Keywords:
second order mixed type equation of the second kind, nonlocal boundary value problem with constant coefficients, uniqueness, existence and smoothness of generalized solution, Sobolev space, Galerkin method, "$\varepsilon$-regularization" method.
Citation:
S. Z. Djamalov, “The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle”, Zhurnal SVMO, 19:4 (2017), 12–22
Linking options:
https://www.mathnet.ru/eng/svmo677 https://www.mathnet.ru/eng/svmo/v19/i4/p12
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Abstract page: | 146 | Full-text PDF : | 41 | References: | 35 |
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