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Keywords:
stochastic partial differential equation; stability of the method of lines; white noise; Volterra stochastic equation
stochastic partial differential equation; stability of the method of lines; white noise; Volterra stochastic equation
Summary:
We apply an approximation by means of the method of lines for hyperbolic stochastic functional partial differential equations driven by one-dimensional Brownian motion. We study the stability with respect to small $L^2$-perturbations.
References:
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