For a higher-order equation with leading mixed derivative, we consider the Goursat-type problem without consistency conditions. The notion of fundamental solution is introduced. By using this notion, we obtain a representation of the solution of the analyzed problem.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 6, pp. 874–880, June, 2013.
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Yusubov, S.S. Goursat-Type Problem for a Higher-Order Equation. Ukr Math J 65, 972–979 (2013). https://doi.org/10.1007/s11253-013-0835-1
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DOI: https://doi.org/10.1007/s11253-013-0835-1