An analogue of the $n$-point problem for a linear hyperbolic equation

• Date: 1971
• Main Authors: Ptashnik, В. I., Пташник, Б. Й.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 1971
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8581
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

В області $R_m=\{0\leq t\leq T<\infty; -\infty <x_p<+\infty, \quad p=1,\dots,m\}$ розглядається така задача: $$L[u]=Q\left(\frac{\partial}{\partial t},(\frac{\partial}{\partial x_1},\dots , (\frac{\partial}{\partial x_m}\right)u=f(t,x_1,\dots , x_m),\quad (1)$$ $$u(t...