The necessary condition for optimal boundary control problems for triple elliptic partial differential equations
Joint Authors
Ajili, Nabil A. Dhiab
al-Hawasy, Jamil A. Ali
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 34, Issue 1 (31 Mar. 2021), pp.60-67, 8 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2021-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract EN
In this work, we prove that the triple linear partial differential equations (PDEs) of theelliptic type (TLEPDEs) with a given classical continuous boundary control vector (CCBCVr)has a unique "state" solution vector (SSV) by utilizing the Galerkin's method (GME).
Also, weprove the existence of a classical continuous boundary optimal control vector (CCBOCVr)ruled by the TLEPDEs.
We study the existence solution for the triple adjoint equations (TAJEs)related with the triple state equations (TSEs).
The Fréchet derivative (FDe) for the objectivefunction is derived.
At the end we prove the necessary "conditions" theorem (NCTh) foroptimality for the In this work, we prove that the triple linear partial differential equations (PDEs) of theelliptic type (TLEPDEs) with a given classical continuous boundary control vector (CCBCVr)has a unique "state" solution vector (SSV) by utilizing the Galerkin's method (GME).
Also, weprove the existence of a classical continuous boundary optimal control vector (CCBOCVr)ruled by the TLEPDEs.
We study the existence solution for the triple adjoint equations (TAJEs)related with the triple state equations (TSEs).
The Fréchet derivative (FDe) for the objectivefunction is derived.
At the end we prove the necessary "conditions" theorem (NCTh) foroptimality for the problem.
American Psychological Association (APA)
al-Hawasy, Jamil A. Ali& Ajili, Nabil A. Dhiab. 2021. The necessary condition for optimal boundary control problems for triple elliptic partial differential equations. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 34, no. 1, pp.60-67.
https://search.emarefa.net/detail/BIM-1255710
Modern Language Association (MLA)
al-Hawasy, Jamil A. Ali& Ajili, Nabil A. Dhiab. The necessary condition for optimal boundary control problems for triple elliptic partial differential equations. Ibn al-Haitham Journal for Pure and Applied Science Vol. 34, no. 1 (2021), pp.60-67.
https://search.emarefa.net/detail/BIM-1255710
American Medical Association (AMA)
al-Hawasy, Jamil A. Ali& Ajili, Nabil A. Dhiab. The necessary condition for optimal boundary control problems for triple elliptic partial differential equations. Ibn al-Haitham Journal for Pure and Applied Science. 2021. Vol. 34, no. 1, pp.60-67.
https://search.emarefa.net/detail/BIM-1255710
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 66-67
Record ID
BIM-1255710
