TY - JOUR
AU - Naji, Fetan J.
AU - Al-hawasy, Jamil Amir
AU - Chryssoveghi, Ion
PY - 2023/09/30
Y2 - 2024/02/26
TI - Quaternary Boundary Optimal Control Problem Dominating by Quaternary Nonlinear Parabolic System
JF - Al-Mustansiriyah Journal of Science
JA - Al-Mustansiriyah Journal of Science
VL - 34
IS - 3
SE - Mathematics
DO - 10.23851/mjs.v34i3.1286
UR - https://mjs.uomustansiriyah.edu.iq/index.php/MJS/article/view/1286
SP - 86-101
AB - <p class="Abstracten">In this paper, our purpose is to study the quaternary continuous classical boundary optimal control vector problem (QCCBOCVP) dominated by the quaternary nonlinear parabolic boundary value problem (QNLPBVP). Under suitable assumptions and with given quaternary continuous classical boundary control vector (QCCBCV), the existence theorem for a unique quaternary state vector solution (QSVS) of the weak form (WF) for the QNLPBVP is stated and demonstrated via the Method of Galerkin and the first compactness theorem. Furthermore, the continuity of the Lipchitz operator between the QSVS of the WF for the QLPBVP and the corresponding QCCBCV is proved. The existence of a quaternary continuous classical boundary optimal control vector (QCCBOVC) is stated and demonstrated under suitable assumptions.</p>
ER -