Rashi #1: It implies that, when Shechting the Korban, one should have in mind to eat it within the prescribed time-period. ¹

Rashi #2 (in Yoma, 27b): It implies that the Shechitah of a Korban may only be performed by day but is Pasul by night.

R. Bachye: It implies that, although the Shalemim may be eaten in two days, it is a Mitzvh to eat it on the first day.

Moshav Zekenim (in Pasuk 5): When you slaughter your Yeitzer ha'Ra, to make peace between you and Hashem, you will eat the Peiros today (in this world), but the principal will be intact for you tomorrow (in the world to come).

Megilah, 20b: It implies that the entire day is Kasher to bring Korbanos. ²

Rashi, in Yoma, 27b & 28a: Two days and the intervening night.

Zevachim 56b: It implies that the Shelamim may only be eaten on the second day, but not on the following night. ^{1 2}

Rashi: The current Pasuk is referring, not to the time-period of eating Shelamim, ¹ but to the issue of Pigul - if, when Shechting it, one has in mind to eat it after the specified time-period, it becomes Pigul and may not be eaten. ²

Oznayim la'Torah: Because regarding other Korbanos that are either entirely burned on the Mizbe'ach or eaten by the Kohanim - who are Zerizim, it is less common to find meat being left over or thoughts that render the Korban Pasul, than by a Shelamim, which are eaten by the owners, who are also likely to ask the Kohen to extend the time of eating by an extra day. ¹