I have the panasonic high def plasma TV when I push the power button it comes on for a few seconds and then goes off. The red power light keeps blinking. What could be causing this problem

Any number of things could be causing the issue. It would be impossible to tell via the Internet. You will need to get someone to come out to diagnose what is wrong with the TV. If you are in the USA, expect to spend around $100-200 for an in-home diagnostic of what is wrong with the TV. Expect average repairs for a plasma to be anywhere from $800-1500. Generally, it is more reasonable to just purchase a new TV as you can get 50" 1080p plasmas for around $1500.