Approximation of solutions of the stochastic wave equation by using the Fourier series
Volume 5, Issue 4 (2018), pp. 429–444
Pub. online: 19 September 2018
Type: Research Article
Open Access
Open Access
Received
28 May 2018
28 May 2018
Revised
30 August 2018
30 August 2018
Accepted
30 August 2018
30 August 2018
Published
19 September 2018
19 September 2018
Abstract
A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered. It is proved that changing the integrator by the corresponding partial sums or by Fejèr sums we obtain the approximations of mild solution of the equation.
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