If you are not experienced with the proper use of a soldering iron and removing and replacing electronic parts, I don’t recommend you attempt it, as soldering has to be done correctly or it will result in a weak joint.
I did have this identical problem and did replace a couple of capacitors but in the end the cause of the unit powering off after turning it on was the power cord itself !!
At some point someone had used a different AC cord for this unit and the molding of the power plug end (to go into the rear of the unit) was not matched to the shape of the player receptacle - thus making poor and intermittent contact.
Of course the instant the unit had a drop in power for a split second, it shut down.
I would recommend you try this one solution before doing anything internally.
If you cannot locate the correct AC cord, try Amazon or any number of shopping sites on the web. I often find these cables at thrift stores for a couple of dollars but you must match the plug shape with the units ac port on the back.
If you are sure you have the original AC cord, the connections may be worn out or the pins in the unit itself may have to be spread open a little .
No soldering required for this fix !!!!!