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Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms

Yu. P. ApakovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100170, UzbekistanСанжарбек Мирзаевич МамажоновRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100170, Uzbekistan
Differential Equationsjournal2023en

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We consider the first boundary value problem in a rectangular domain for an inhomogeneous fourth-order differential equation with lower-order terms. The uniqueness of a solution of the stated problem is proved. The solution is obtained explicitly using the Green’s function constructed.

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