An electroluminescent (EL) display apparatus and corresponding method of control are provided. A display screen includes gate signal lines which are arranged to intersect source signal lines. A pixel provided with an EL device corresponds to each intersection of the gate signal lines and the source signal lines. A driving transistor is provided for each pixel to supply a current to the EL device. A first switch transistor is provided for each pixel on a current path through which the current is supplied to the EL device. A gate driver circuit is connected to the gate signal lines. The gate driver circuit is configured to turn the first switch transistor on and off to simultaneously generate band-shaped non-display regions and band-shaped display regions on the display screen and to move the non-display regions and the display regions relative to the display screen.