Journal of Applied Mathematics and Stochastic Analysis
Volume 12 (1999), Issue 2, Pages 121-131
doi:10.1155/S1048953399000131
Periodic in distribution solution for a telegraph equation
Kiev University, Mechanics and Mathematics Department, Vladimirskay 64, Kiev-33 252033, Ukraine
Received 1 July 1998; Revised 1 November 1998
Copyright © 1999 A. Ya. Dorogovtsev. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In this paper we study an abstract stochastic equation of second order and
stochastic boundary problem for the telegraph equation in a strip. We
prove the existence of solutions, which are d-periodic (periodic in distribution) random processes.