To hold one's own Meaning, Definition & Usage

Definitions
  1. to keep or maintain one's possessions; to yield nothing; esp., to suffer no loss or disadvantage in a contest.
Definitions
  1. . (a) To keep good one's present condition absolutely or relatively; not to fall off, or to lose ground; as, a ship holds her own when she does not lose ground in a race or chase; a man holds his own when he does not lose strength or weight.

Webster 1913