MSC2010 35M10, 35M20
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. Dzhamalov1
| Annotation | 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. |
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| 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. |
1Sirojiddin. Z. Dzhamalov, Associate Professor, Senior Researcher, Department of Differential Equations of Institute of Mathematics, Uzbekistan Academy of Sciences (81 M.Ulugbek str., Academgorodok, Tashkent, 100170, Uzbekistan), Ph. D. (Physics and Mathematics), ORCID: http://orcid.org/0000-0002-3925-5129; e-mail: siroj63@mail.ru
Citation: S. Z. Dzhamalov, "[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 Srednevolzhskogo matematicheskogo obshchestva,19:4 (2017) 12–22 (In Russian)
DOI 10.15507/2079-6900.19.201704.12-22
