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Boundary Value Problems for a Fourth Order Partial Differential Equation with an Unknown Right-hand Part

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Abstract In this article in a rectangular domain inverse boundary value problems with local and non-local boundary conditions for a fourth order partial differential equation were formulated and investigated. The… Click to show full abstract

Abstract In this article in a rectangular domain inverse boundary value problems with local and non-local boundary conditions for a fourth order partial differential equation were formulated and investigated. The solutions of the inverse problems were obtained in the form of Fourier series. It was proved the theorem on uniqueness and existence of the solution of the inverse problems under consideration.

Keywords: differential equation; order partial; partial differential; fourth order; boundary value; value problems

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2021

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