Boundary control problem with an infinite number of variables
Using a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities whi...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201007128 |
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| _version_ | 1832556699561492480 |
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| author | Hussain A. El-Saify |
| author_facet | Hussain A. El-Saify |
| author_sort | Hussain A. El-Saify |
| collection | DOAJ |
| description | Using a previous result by Gali and El-Saify (1983) and the theory
of Kotarski (1989), and Lions (1971), we formulate the boundary
control problem for a system governed by Neumann problem
involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities which
characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control. |
| format | Article |
| id | doaj-art-a9ff604a94354e818de8652b92ad332c |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a9ff604a94354e818de8652b92ad332c2025-02-03T05:44:39ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01281576210.1155/S0161171201007128Boundary control problem with an infinite number of variablesHussain A. El-Saify0Mathematics Department, Faculty of Science, Branch of Cairo University, Beni Suef, EgyptUsing a previous result by Gali and El-Saify (1983) and the theory of Kotarski (1989), and Lions (1971), we formulate the boundary control problem for a system governed by Neumann problem involving selfadjoint elliptic operator of 2ℓth order with an infinite number of variables. The inequalities which characterize the optimal control in terms of the adjoint system are obtained, it is studied in order to construct algorithms attainable to numerical computations for the approximation of the control.http://dx.doi.org/10.1155/S0161171201007128 |
| spellingShingle | Hussain A. El-Saify Boundary control problem with an infinite number of variables International Journal of Mathematics and Mathematical Sciences |
| title | Boundary control problem with an infinite number of variables |
| title_full | Boundary control problem with an infinite number of variables |
| title_fullStr | Boundary control problem with an infinite number of variables |
| title_full_unstemmed | Boundary control problem with an infinite number of variables |
| title_short | Boundary control problem with an infinite number of variables |
| title_sort | boundary control problem with an infinite number of variables |
| url | http://dx.doi.org/10.1155/S0161171201007128 |
| work_keys_str_mv | AT hussainaelsaify boundarycontrolproblemwithaninfinitenumberofvariables |