The Continuous Classical Boundary Optimal Control of a Couple Linear Of Parabolic Partial Differential Equations
In this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a couple linear parabolic partial differential equ...
| Published in: | Al-Mustansiriyah Journal of Science |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Mustansiriyah University
2018-10-01
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| Subjects: | |
| Online Access: | http://mjs.uomustansiriyah.edu.iq/ojs1/index.php/MJS/article/view/159 |
| Summary: | In this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a couple linear parabolic partial differential equations for given (fixed) continuous classical boundary control vector. The proof of the existence theorem of a continuous classical optimal boundary control vector associated with the couple linear parabolic is given. The Frechet derivative is derived; finally we give a proof of the necessary conditions for optimality (boundary control) of the above problem. |
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| ISSN: | 1814-635X 2521-3520 |