We calculate the speed of sound and analyze damping times of sound waves due to non-equilibrium weak processes and shear viscosity in superfluid nucleon-hyperon matter of massive neutron stars. For that, we employed the dissipative relativistic hydrodynamics of a superfluid nucleon-hyperon mixture formulated earlier. We demonstrated that the damping times calculated using this hydrodynamics differ from that calculated in hydrodynamics of non-superfluid liquid by several orders of magnitude.

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