In the present work the single-phase-lagging heat conduction model is re-derived analytically from the Boltzmann transport equation. In contrast to the Maxwell-Cattaneo law (CV model), it is Galilean invariant in the moving media. Based on this model, the governing equation of the microscale heat conduction is established, which is formulated into a delay partial differential equation. The corresponding initial and boundary conditions are prescribed. The thermal oscillation of the single-phase-lagging heat conduction is investigated. (C) 2008 Elsevier Ltd. All rights reserved.