Goursat-Type Problem for a Higher-Order Equation
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.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 6, pp 972-979.
Citation Example: Yusubov Sh. Sh. Goursat-Type Problem for a Higher-Order Equation // Ukr. Mat. Zh. - 2013. - 65, № 6. - pp. 874–880.