ПРО ВИЗНАЧЕННЯ КОЕФІЦІЄНТА ПРИ МОЛОДШОМУ ЧЛЕНІ БАГАТОВИМІРНОГО ГІПЕРБОЛІЧНОГО РІВНЯННЯ ДРУГОГО ПОРЯДКУ
The problem of determining the coefficient of lowest term of the second order multi-dimensional hyperbolic equation with additional inteqral condition is reduced to the optimal control problem and the obtained problem is investigated by methods of optimal control theory. Existence theorem of optimal...
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| Date: | 2025 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2025
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| Subjects: | |
| Online Access: | https://jais.net.ua/index.php/files/article/view/621 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | The problem of determining the coefficient of lowest term of the second order multi-dimensional hyperbolic equation with additional inteqral condition is reduced to the optimal control problem and the obtained problem is investigated by methods of optimal control theory. Existence theorem of optimal control is proved, continuous differentiability by Freshet of functional is established and is deduced necessary condition of optimality by the solution of conjugate problem. |
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