Jim Morrison- Greek Translation?

Question

I was asked to do a project on influential music artists for my AP music theory class. I decided to do Jim Morrison from the Doors. I was researching his death and this: ΚΑΤΑ ΤΟΝ ΔΑΙΜΟΝΑ ΕΑΥΤΟΥ. is on his gravestone. I tried to find a translation, but nothing is coming up right. Does anyone know what it means?

Answer 1

It can translate into two things. One is "old" Greek while one is "modern" Greek, you may want to check up on that though because I know nothing about Greek.

Anyway, I am pretty sure it is the old Greek that translates into, "True to his own spirit" (there are a few different variations because of translating differences)

And I think it is the modern Greek that translates into (roughly) "Killed by his own demons" <<I didn't make that up either ;)  

These are the tow translations regardless. I am not quite sure whether I switched the modern and ancient or not, however I believe what I put is the correct order.

There is always room for miscommunication in translating different languages into English since a word can have multiple meanings, but these are the general meaning of each.