Recurring problem with Kodak DX3600

Wondering if someone has experienced the same frustrating problem...

Sometimes when turning on the camera, either:

- green LED blinks once or twice, but nothing else happens (lens
doesn't come out, screen remains off);
- camera starts normally (boots up, lens comes out), but when
depressing the button to take a picture, the lens goes back in and the
camera reboots (without having taken the picture);

When this starts to happen, it will keep doing it for several on-off
cycles. When it locks up, I usually need to bang it against the palm
of my hand several times before it finally reacts. Sometimes I just
give up and forget about taking the picture... very frustrating!

This problem started to occur during last summer, while it was still
on warranty. We sent it to Kodak Service and the work report mentions
some work on the shutter. It has been working fine after, but this
summer the problem is back again (the warranty, however, is long
gone). I'm beginning to think it is somewhat weather-related, perhaps
humidity.

BTW, the batteries and memory card are NOT the problem. (I was able
to take hundreds of pictures and movies with the same rechargeable
batteries & memory card).

Has anyone had the same kind of problem with a Kodak camera? Is there
something I can do besides having it serviced, perhaps some
lubrication?

Any thoughts welcome.

Serge