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The nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle

TitleThe nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle
AuthorsS. Z. Dzhamalov1
1Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent
AnnotationIn the present work for the second order mixed type equation of the second kind we study unique solvability and smoothness of the generalized solution of nonlocal boundary value problem with constant coefficients in Sobolev,s spaces.
Keywordssecond order mixed type equation of the second kind, Sobolev space, Galerkin's and "$\varepsilon$-regularization" methods
CitationDzhamalov S. Z. ''The nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 45-54. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper07.pdf. - Date of access: 10.12.2019.