Darboux problem for the generalized Euler – Poisson – Darboux equation

• Date: 2017
• Main Authors: Ismoilov, A. I., Mamanazarov, A. O., Urinov, A. K., Исмоилов, А. И., Маманазаров, А. О., Уринов, А. К.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2017
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1675
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In the article Euler – Poisson – Darboux equation was considered in the characteristic triangle and Darboux problem was investigated. The solution of the problem was found by Riemann’s method. Theorems on the existence and uniqueness of the solution were proved.