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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 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.

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Authors and Affiliations

  1. Ferghana State University, 150100, Fergana city, Uzbekistan

    A. K. Urinov & M. S. Azizov

  2. Namangan Regional Department, Institute of Mathematics, Uzbekistan Academy of Sciences, 160136, Namangan city, Uzbekistan

    A. K. Urinov

Authors
  1. A. K. Urinov
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  2. M. S. Azizov
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Correspondence to A. K. Urinov or M. S. Azizov.

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(Submitted by T. K. Yuldashev)

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Urinov, A.K., Azizov, M.S. Boundary Value Problems for a Fourth Order Partial Differential Equation with an Unknown Right-hand Part. Lobachevskii J Math 42, 632–640 (2021). https://doi.org/10.1134/S1995080221030203

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  • DOI: https://doi.org/10.1134/S1995080221030203

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