Abstract
The aim of the present work is to derive the representation of a Galerkin-type solution in the linear theory of generalized thermoelasticity with three phase-lags, recently developed by Roychoudhuri (2007). Firstly, the representation of a Galerkin-type solution of equations of motion is obtained in the form of a theorem. Then, the representation theorem of a Galerkin-type system of equations of steady oscillations is established. Finally, the general solution of the system of homogenous equations of steady oscillation is also presented based on our theorem.
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