НЕОБХІДНА УМОВА В ЗАДАЧІ ІДЕНТИФІКАЦІЇ ДЛЯ ОДНОВИМІРНОГО НЕЛІНІЙНОГО СТАЦІОНАРНОГО РІВНЯННЯ КВАЗІОПТИКИ
The identification problem of one-dimensional nonlinear stationary equation of quasioptics about the definition of square summable coefficients, when the nonlinear part includes the purely imaginary coefficient is studied. The formula is found for the gradient of the functional, built on the final o...
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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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| Online Access: | https://jais.net.ua/index.php/files/article/view/580 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | The identification problem of one-dimensional nonlinear stationary equation of quasioptics about the definition of square summable coefficients, when the nonlinear part includes the purely imaginary coefficient is studied. The formula is found for the gradient of the functional, built on the final observation and necessary condition of a variational inequality is established. The theorem of existence and uniqueness of a solution for the direct problem is proved. |
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