Abstract

AbstractExistence of non‐resonant solutions of time‐periodic type is established for the Kuznetsov equation with a periodic forcing term. The equation is considered in a three‐dimensional whole‐space, half‐space and bounded domain, and with both non‐homogeneous Dirichlet and Neumann boundary values. A method based on estimates for the corresponding linearization, namely the wave equation with Kelvin‐Voigt damping, is employed.

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