Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form
The optimal boundary control problem for (n×n) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on controls are imposed. Necessary and suffacient optimality...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/672947 |
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| _version_ | 1849472999169720320 |
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| author | Bahaa G. M. |
| author_facet | Bahaa G. M. |
| author_sort | Bahaa G. M. |
| collection | DOAJ |
| description | The optimal boundary control problem for (n×n) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on controls are imposed. Necessary and suffacient optimality conditions for the Neumann problem with the quadratic performance functional are derived. |
| format | Article |
| id | doaj-art-dbefa9a676944fc698219f7250f5860d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-dbefa9a676944fc698219f7250f5860d2025-08-20T03:24:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/672947672947Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral FormBahaa G. M.0Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah Al-Munawwarah, Saudi ArabiaThe optimal boundary control problem for (n×n) infinite order distributed parabolic systems with multiple time delays given in the integral form both in the state equations and in the Neumann boundary conditions is considered. Constraints on controls are imposed. Necessary and suffacient optimality conditions for the Neumann problem with the quadratic performance functional are derived.http://dx.doi.org/10.1155/2012/672947 |
| spellingShingle | Bahaa G. M. Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form Journal of Applied Mathematics |
| title | Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form |
| title_full | Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form |
| title_fullStr | Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form |
| title_full_unstemmed | Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form |
| title_short | Optimality Conditions for Infinite Order Distributed Parabolic Systems with Multiple Time Delays Given in Integral Form |
| title_sort | optimality conditions for infinite order distributed parabolic systems with multiple time delays given in integral form |
| url | http://dx.doi.org/10.1155/2012/672947 |
| work_keys_str_mv | AT bahaagm optimalityconditionsforinfiniteorderdistributedparabolicsystemswithmultipletimedelaysgiveninintegralform |