The 2 main causes are:
1. over heating
2. power supply failing
Could still possibly be something else, but we'd need a bit more detail on what exactly is happening. Does it just shut off shortly after powering on? Or does it do this at a certain point/while you try to load something? Do you hear any 'odd sounds/beeps' before it shuts down? Does something ever display on the screen before it shuts down(how far does it get)?