id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-3339	Al-Hawasy, jamil Amir; H. Diwan, Haider ; F. keidan , Waffa 	The Continuous Classical Optimal Control Problems for Quaternary Elliptic Partial Differential Equations	2024	10	.pdf	application/pdf	5635	288	81	To prove �⃗�𝑛 → �⃗� ST in �⃗⃗⃗⃗� , from HYP 3.1 (1-a), one has ‖�⃗� − �⃗�𝑛‖1 2 = 𝐵(�⃗� − �⃗�𝑛 , �⃗� − �⃗�𝑛) = 𝐵(�⃗� − �⃗�𝑛 , �⃗�) − 𝐵(�⃗�, �⃗�𝑛) + 𝐵(�⃗�𝑛 , �⃗�𝑛) = 𝐵(�⃗� − �⃗�𝑛 , �⃗�) + Ǎ(�⃗�) − Ǎ(�⃗�𝑛) → 0 i.e. ‖�⃗� − �⃗�𝑛‖ = 0.	cache/iajs-3339.pdf	txt/iajs-3339.txt