On a solution of a boundary-value problem for a hyperbolic equation on a disk with random initial conditions

• Date: 2000
• Main Authors: Olijnyk, A. O., Олійник, А. О.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2000
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4431
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions under which a solution of a boundary-value problem for a hyperbolic equation on a disk with random initial conditions can be represented as a series uniformly convergent with probability one.