For the Euler–Poisson–Darboux type equations with the Bessel operators with negative index we consider the Cauchy problem with the boundary conditions. We obtain a representation of the solution in the form of the Poisson formula.
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Translated from Problemy Matematicheskogo Analiza 104, 2020, pp. 47-56.
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Lyakhov, L.N., Yeletskikh, K.S. & Sanina, E.L. The Poisson Formula for Solutions to Initialboundary Value Problems for B-Hyperbolic Equations with Bessel Operators with Negative Index. J Math Sci 250, 51–61 (2020). https://doi.org/10.1007/s10958-020-04996-7
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DOI: https://doi.org/10.1007/s10958-020-04996-7