Abstract

Eidus, D., Asymptotically periodic solutions of the wave equation in the Hilbert space, Asymptotic Analysis 8 (1994) 217-236. The large time asymptotics of solutions of the Cauchy problem for a non-homogeneous wave equation with a periodic perturbation is found under some restrictions, imposed on the corresponding operator. We apply the obtained results to the third boundary value problem for the wave equation in a half-space.

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