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On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary

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Abstract

An initial–boundary value problem is posed in a rectangle for a degenerate partial differential equation of high even order with a Bessel operator. The existence, uniqueness, and stability of a solution of the problem under study are proved.

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Authors and Affiliations

  1. Romanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100170, Uzbekistan

    A. K. Urinov

  2. Fergana State University, Fergana, 150100, Uzbekistan

    A. K. Urinov & M. S. Azizov

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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Translated by V. Potapchouck

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Urinov, A.K., Azizov, M.S. On the Solvability of an Initial–Boundary Value Problem for a High Even Order Partial Differential Equation Degenerating on the Domain Boundary. J. Appl. Ind. Math. 17, 414–426 (2023). https://doi.org/10.1134/S1990478923020199

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  • DOI: https://doi.org/10.1134/S1990478923020199

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