A numerical model was developed to investigate the applicability of activation energy asymptotics (AEA) in unsteady combustion of solids, and specifically, the quasisteady condensed phase (surface) reaction assumption. It was found that while condensed phase global decomposition activation energies are typically large enough for accurate prediction of steady burning rate and surface temperature by AEA, the criterion for comparable accuracy in predicting unsteady burning rate (e.g., linear response function) is more stringent For realistic material properties the error in the linear response because of the quasisteady condensed phase reaction assumption is significant, both in magnitude and phase. The results also show that at moderate pressures (10-100 atm), condensed phase reaction zone unsteadiness should be considered before, or at least in conjunction with, gas phase unsteadiness. Nonlinear combustion response was also investigated. The primary effect of nonlinearity was to convert low-frequency response (particularly that near the peak) to higher frequencies. Validation of numerical results was accomplished by comparing the linear surface reaction response with the predictions of analysis.C