My TV is only 3 years old. It is from Sony and is 32". It keeps turning itself on and off and then won't come on at all. HELP!!

It's a ghost :)

Have you called the manufacturer? Did you get an extended warranty?

If it turns out not to be the TV, have an electrician check your panel box or
The breakers (some houses/apts. Use fuses). I had such a problem last
Year and it turned out to be the breaker box which I had to have replaced.
Could have bought three new tvs for the price of that:)

It might be as simple as your remote batteries dying also. Trade those out and see.