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Solvability of a Boundary Value Problem for a Fourth Order Equation of Parabolic-Hyperbolic Type in a Pentagonal Domain

Yu. P. ApakovInstitute of Mathematics named after V. I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, 100174, UzbekistanS. M. MamajonovInstitute of Mathematics named after V. I. Romanovsky of the Academy of Sciences of the Republic of Uzbekistan, Tashkent, 100174, Uzbekistan
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Аннотация

Under consideration are some well-posed boundary value problems for a fourth order equation of parabolic-hyperbolic type in a pentagonal domain. We prove the unique solvability by straightforward construction.

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