Anna Slyvka-Tylyshchak and Mykhailo Mykhasiuky
Uzhhorod National University, Ukraine

Part of the book: Stochastic Processes: Fundamentals and Emerging Applications

Chapter DOI: https://doi.org/10.52305/KDTE6095

Abstract

The equation of string oscillations with random factors is a classical problem of the hyperbolic type of mathematical physics. The Cauchy problem for the equation of string oscillations on a plane with random factors from the Orlicz space is considered in this paper. The conditions of existence, with probability one, of the classical solution of the problem are investigated.

Keywords: stochastic processes, random fields, equation of mathematical physics, Cauchy
problem, equation of string oscillations, Orlicz space

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