Is the PSP slim and lite differ to PSP slim

By slim, you mean PSP-2000.
By lite, you mean PSP-3000. main differences-

PSP 2000 is hackable.(Most are, some arent) you can install Custom Firmware to it. The psp 3000 is unhackable at the moment.
The psp 3000 has many bugs with the screen, where it messes up.