The Euler–Poisson–Darboux equation is considered in the characteristic triangle and the Darboux problem is investigated. The solution of the problem is found by the Riemann method. The theorem on existence and uniqueness of the solution is proved.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 69, No. 1, pp. 52–70, January, 2017.
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Ismoilov, A.I., Mamanazarov, A.O. & Urinov, A.K. Darboux Problem for the Generalized Euler–Poisson–Darboux Equation. Ukr Math J 69, 62–84 (2017). https://doi.org/10.1007/s11253-017-1347-1