On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind
С. З. ДжамаловInstitute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, UzbekistanRavshan AshurovInstitute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, UzbekistanU. Sh. RuzievInstitute of Mathematics, Uzbekistan Academy of Sciences, 100170, Tashkent, Uzbekistan
ABI
Аннотация
In this paper we consider of a multidimensional loaded mixed type equation of the second order with some seminonlocal conditions on the coefficients. The existence and uniqueness of solution of the seminonlocal boundary value problem of second kind is proved in the Sobolev space $$W\ _{2}^{3}(Q)$$ . In proof of the theorems are used the methods of ‘‘ $$\varepsilon$$ -regularizations’’, a priori estimate and successive approximations.
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