Modified Cauchy problem for one degenerated hyperbolic equation of the second kind

• Date: 2020
• Main Authors: Urinov, A. K., Okboev, A. B., Уринов, А. К., Окбоев, А. Б., Урінов, А. К., Окбоєв, А. Б.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/656
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a modified Cauchy problem for the degenerated hyperbolic equation of the second kind. First, we find the representations of the general solution of the analyzed equation for $\alpha \leq 1.$ Then, by using these representations, we formulate modified Cauchy problems for all real values of $...