A display apparatus with a self-luminescent device and a non-self-luminescent device has a first substrate, a second substrate, and a pixel matrix with a plurality of pixels. Each pixel has a first switching device, a non-self-luminescent device controlled by the first switching device, a second switching device, and a self-luminescent device controlled by the second switching device. The first switching device and the second switching device are active devices, wherein the first switching device is disposed on the first substrate, and the second switching device is disposed on the second substrate. Alternatively, one of the first switching device and the second switching device is a passive device. Also, the first switching device is on the first substrate, and the second switching device is on the second substrate. An apparatus for controlling the disclosed display apparatus is also disclosed.