Is there a basis in the Sunnah for the night prayer (qiyam) performed in the last ten days of Ramadan?

Question:
May Allah reward you, Honorable Shaykh. This questioner says: Is there a basis in the Sunnah for the night prayer (qiyam) performed in the last ten days of Ramadan?

Answer:
Yes, its basis is clear. The Prophet (peace and blessings be upon him) used to pray and sleep during the first twenty days, but when the last ten days entered, he would keep the night awake. In one narration, it is said he did not taste sleep. This is evidence that in the last ten days, one increases in tahajjud (the late-night voluntary prayer) and increases in prayer at the end of the night, just as the Salaf (the earliest generations) used to do.
But here, in this time, there are those who discourage people, even though they claim to seek knowledge. They discourage people, and everything is an innovation (bid'ah) to them, and everything requires evidence to them. They discourage people from qiyam (night prayer) in Ramadan and at other times. There is no power and no strength except with Allah. Allah.