3月26日、木曜日の新聞の見出しです→DPJ split by Ozawa decision to stay put
本文では、stay putの言い替えで、stay on (今までの状態を続ける、居残る)が使われています。
The Democratic Party of Japan was in turmoil Wednesday after DPJ President Ichiro Ozawa announced the previous evening he will stay on despite his top aide's indictment over illegal corporate donations.