1. A mobile electronic device comprising a processor, wherein the processor executes a process comprising: storing in a storage identification information on a per- application basis, the identification information indicating whether an authentication screen is to be displayed on a display; acquiring from the storage identification information that corresponds to an application displayed when the display is in a lighting-down condition in response to the lighting-down condition being satisfied; determining whether the authentication screen is to be displayed on the basis of the acquired identification information; and controlling, when the display enters a re-lighted state, the display to display the authentication screen or a screen of the application, on the basis of a result of the determination.