id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2478	Al-Hawasy, Jamil A.; K. Jaber, Mohammed A.	The Continuous Classical Boundary Optimal Control Vector Governing by Triple Linear Partial Differential Equations of Parabolic Type	2020	14	.pdf	application/pdf	7638	281	81	The convergence of the solution: Let �⃗� be a sequence of subspaces of �⃗�, s.t. ∀ �⃗� ∈ 𝑉,⃗ there exists a sequence �⃗� } with �⃗� ∈ �⃗� , ∀ 𝑛 and �⃗� ⟶ �⃗�, strongly in �⃗� ⇒ �⃗� ⟶ �⃗�, strongly in 𝐿 Ω , since for each 𝑛, with �⃗� ⊂ �⃗�, (17 19) has a unique solution �⃗� 𝑦 , 𝑦 , 𝑦 , hence corresponding to the sequence of subspaces �⃗� , there exists a sequence of (approximation) problems like (17 19), thus by substituting �⃗� �⃗� 𝑣 , 𝑣 , 𝑣 , one has for 𝑛 1,2, … Theorem 5.2: The NCsThOP for the CCBOCV of the above problem is 𝐺´ 𝑢 𝑧 𝛽𝑢 0 with �⃗� �⃗� ⃗ and 𝑧 𝑧 ⃗ .	cache/iajs-2478.pdf	txt/iajs-2478.txt