My gut feeling tells me that sentences such as
Own mistakes have to be dealt with first.
Own experience matters the most.
We present own results.
are not correct, and I would supplement "own" with, for example, "your" or "my".
Is the above use of "own" just unusual, or is there a general rule saying that "own" always requires the possessive of a noun or a possessive pronoun?
The Oxford dictionary at least suggests that "own" cannot be used after an article:
Own cannot be used after an article:
I need my own room. (Not: I need an own room.)
It's good to have your own room. (Not: It's good to have the own room.)
Are there other words for which that is also the case?
("own" without a pronoun is often found in English texts written by German native speakers, because in German it is perfectly fine to say "Eigene Fehler ...".)