Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System
This paper is concerned with the study of the constraints quaternary continuous classical optimal control vector problem (CQCCOCVP) with equality and inequality constraint (EINC) controlled by quaternary nonlinear elliptic partial differential equations (QNLEPDEqs).The existence theorem of a CQCCOC...
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| Format: | Article |
| Language: | English |
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College of science, university of Diyala
2024-07-01
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| Series: | Academic Science Journal |
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| Online Access: | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/81 |
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| author | Jamil Al-Hawasy Haider H. Diwan Waffa F. Keidan |
| author_facet | Jamil Al-Hawasy Haider H. Diwan Waffa F. Keidan |
| author_sort | Jamil Al-Hawasy |
| collection | DOAJ |
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This paper is concerned with the study of the constraints quaternary continuous classical optimal control vector problem (CQCCOCVP) with equality and inequality constraint (EINC) controlled by quaternary nonlinear elliptic partial differential equations (QNLEPDEqs).The existence theorem of a CQCCOCV of the constrained problem is stated and proved under suitable hypotheses (hyps). The mathematical formulation (MF)of the adjoint quaternary equations (AQEqs) associated with the QNLEPDEqs is derived, the Fréchet derivative (FD) for the objective function (OF) and the EINC are derived. Finally, the necessary condition theorem (NCTH) and the sufficient condition theorem (SCTH) for the optimality are stated and proved
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| format | Article |
| id | doaj-art-511a83ed5fa24f55b228c3b8e5cec4c9 |
| institution | Kabale University |
| issn | 2958-4612 2959-5568 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | College of science, university of Diyala |
| record_format | Article |
| series | Academic Science Journal |
| spelling | doaj-art-511a83ed5fa24f55b228c3b8e5cec4c92024-11-19T10:00:14ZengCollege of science, university of DiyalaAcademic Science Journal2958-46122959-55682024-07-012310.24237/ASJ.02.02.746CConstraints Optimal Control Problem For Quaternary Nonlinear Elliptic SystemJamil Al-Hawasy0Haider H. DiwanWaffa F. KeidanMustansiriyah university , College of Science, Department of Mathematics This paper is concerned with the study of the constraints quaternary continuous classical optimal control vector problem (CQCCOCVP) with equality and inequality constraint (EINC) controlled by quaternary nonlinear elliptic partial differential equations (QNLEPDEqs).The existence theorem of a CQCCOCV of the constrained problem is stated and proved under suitable hypotheses (hyps). The mathematical formulation (MF)of the adjoint quaternary equations (AQEqs) associated with the QNLEPDEqs is derived, the Fréchet derivative (FD) for the objective function (OF) and the EINC are derived. Finally, the necessary condition theorem (NCTH) and the sufficient condition theorem (SCTH) for the optimality are stated and proved https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/81Constraint Continue Classical Optimal Control Vector, Quaternary Nonlinear Elliptic Boundary, Fréchet derivative, Necessary Conditions, Sufficient Condition. |
| spellingShingle | Jamil Al-Hawasy Haider H. Diwan Waffa F. Keidan Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System Academic Science Journal Constraint Continue Classical Optimal Control Vector, Quaternary Nonlinear Elliptic Boundary, Fréchet derivative, Necessary Conditions, Sufficient Condition. |
| title | Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System |
| title_full | Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System |
| title_fullStr | Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System |
| title_full_unstemmed | Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System |
| title_short | Constraints Optimal Control Problem For Quaternary Nonlinear Elliptic System |
| title_sort | constraints optimal control problem for quaternary nonlinear elliptic system |
| topic | Constraint Continue Classical Optimal Control Vector, Quaternary Nonlinear Elliptic Boundary, Fréchet derivative, Necessary Conditions, Sufficient Condition. |
| url | https://acadscij.uodiyala.edu.iq/index.php/Home/article/view/81 |
| work_keys_str_mv | AT jamilalhawasy constraintsoptimalcontrolproblemforquaternarynonlinearellipticsystem AT haiderhdiwan constraintsoptimalcontrolproblemforquaternarynonlinearellipticsystem AT waffafkeidan constraintsoptimalcontrolproblemforquaternarynonlinearellipticsystem |