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Eurasian Mathematical Journal, 2015, том 6, номер 2, страницы 18–40
(Mi emj192)
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Эта публикация цитируется в 7 научных статьях (всего в 7 статьях)
Optimal distributed control for the processes of oscillation described by Fredholm integro-differential equations
A. K. Kerimbekova, E. F. Abdyldaevab a Department of Applied Mathematics and Informatics,
Faculty of Natural and Technical Sciences, Kyrgyz-Russian Slavic University, Bishkek, Kyrgyzstan
b Department of Mathematics, Faculty of Science, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan
Аннотация:
In this paper we investigate the problem of distributed optimal control for the oscillation processes described by Fredholm integro-differential equations with partial derivatives when the function of the external source depends nonlinearly on the control parameters. We have developed an algorithm for finding approximate solutions of nonlinear optimization problems with arbitrary precision. The developed method of solving nonlinear optimization problems is constructive and can be used in applications.
Ключевые слова и фразы:
boundary value problem, generalized solution, approximate solutions, convergence, functional, the maximum principle, the optimality condition, nonlinear integral equations.
Поступила в редакцию: 18.10.2014
Образец цитирования:
A. K. Kerimbekov, E. F. Abdyldaeva, “Optimal distributed control for the processes of oscillation described by Fredholm integro-differential equations”, Eurasian Math. J., 6:2 (2015), 18–40
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj192 https://www.mathnet.ru/rus/emj/v6/i2/p18
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Страница аннотации: | 186 | PDF полного текста: | 75 | Список литературы: | 42 |
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