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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. ApakovNamangan Engineering-Construction Institute, Namangan, 160103, 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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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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