WASHINGTON — Several Supreme Court justices on Monday continued a heated debate on how to handle last-minute requests in death penalty cases, issuing a series of unusual opinions about actions the court had taken several weeks ago.

Continuing to fight those battles is an indication that feelings remain raw on a court that is increasingly divided over capital cases.

A guiding principle at the Supreme Court, Justice Stephen G. Breyer has said, is that “tomorrow is another day.” The court very rarely supplements its original rulings with later explanations and responses.

In one opinion, Justice Brett M. Kavanaugh, joined by Chief Justice John G. Roberts Jr., explained why they had voted in March to stay the execution of Patrick H. Murphy, a Buddhist inmate in Texas whose request that his spiritual adviser accompany him to the death chamber had been denied though Christian and Muslim chaplains were allowed.