Optimal control problems for quasilinear elliptic equations with optimality criterion on the border

R. Kasymova

doi:10.12737/6335

OPTIMAL CONTROL PROBLEMS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH OPTIMALITY CRITERION ON THE BORDER Optimal control problems for quasilinear elliptic equations with optimality criterion on the border

АА Аа

Published in Actual directions of scientific researches of the XXI century: theory and practice · Volume 2, Issue 5, p. 1 · Pages 41–42 · Rubric: Sekciya: «Kachestvennaya teoriya dinamicheskih sistem»

DOI: https://doi.org/10.12737/6335

Received: 11.11.2014 Accepted: 11.11.2014 Published: 11.11.2014 Language of publication: RUS

Authors

R. Kasymova

ABSTRACT

The article considers the problem of optimal elliptic equation with controls in its coefficients and the criterion of optimality in the border area. The problems of the correct setting of the problem and installed the necessary condition for optimality.

KEYWORDS

optimal control of quasilinear elliptic equations, optimality condition.

Text

УДК: 517.977

ЗАДАЧА ОПТИМАЛЬНОГО УПРАВЛЕНИЯ ДЛЯ КВАЗИЛИНЕЙНОГО ЭЛЛИПТИЧЕСКОГО УРАВНЕНИЯ С КРИТЕРИЕМ ОПТИМАЛЬНОСТИ ПО ГРАНИЦЕ ОБЛАСТИ

OPTIMAL CONTROL PROBLEMS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH OPTIMALITY CRITERION ON THE BORDER

Касымова Р.С., диссертант, препод.

Бакинский Государственный Университет г. Баку, Азербацджан.

renakasimova@mail.ru email

DOI: 10.12737/6335

Аннотация: В статье рассматривается одна задача оптимального управления для квазилинейного эллиптического уравнения с управлениями в его коэффициентах и с критерием оптимальности по границе области. Исследованы вопросы корректности постановки задачи и установлено необходимое условие оптимальности.

Summary: The article considers the problem of optimal elliptic equation with controls in its coefficients and the criterion of optimality in the border area. The problems of the correct setting of the problem and installed the necessary condition for optimality.

Ключевые слова: оптимальное управление, квазилинейное эллиптическое уравнение, условие оптимальности.

Keywords: optimal control of quasilinear elliptic equations , optimality condition.

1. Ladyzhenskaya O.A., Uraltseva N.N. Lineynye i kvazilineynye uravneniya ellipticheskogo tipa. M.: Nauka, 1973.- 576 s.

2. Gaevskiy Kh., Greger K., Zakharias K. Nelineynye operatornye uravneniya i operatornye differentsial´nye uravneniya. M.:Mir, 1978.- 366 s.

This work is licensed under Creative Commons Attribution 4.0 International

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Igor Shanin

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This work is licensed under Creative Commons Attribution 4.0 International Creative Commons

GOST

Kasymova R. Optimal control problems for quasilinear elliptic equations with optimality criterion on the border // Actual directions of scientific researches of the XXI century: theory and practice. 2014. no. 5. pp. 41-42. DOI: https://doi.org/10.12737/6335. (Date of access 22.10.2026).

MLA

R. Kasymova. "Optimal control problems for quasilinear elliptic equations with optimality criterion on the border." Actual directions of scientific researches of the XXI century: theory and practice 2.5 (2014): 41-42. DOI: https://doi.org/10.12737/6335.

APA

Kasymova R. (2014). Optimal control problems for quasilinear elliptic equations with optimality criterion on the border. Actual directions of scientific researches of the XXI century: theory and practice, 2(5), 41-42. https://doi.org/10.12737/6335

Chicago

R. Kasymova. "Optimal control problems for quasilinear elliptic equations with optimality criterion on the border." Actual directions of scientific researches of the XXI century: theory and practice 2, no. 5 (2014): 41-42. https://doi.org/10.12737/6335.

WIKI

{{cite journal | author = Kasymova R. | title = Optimal control problems for quasilinear elliptic equations with optimality criterion on the border | journal = Actual directions of scientific researches of the XXI century: theory and practice | year = 2014 | volume = 2 | issue = 5 | pages = 41-42 | doi = 10.12737/6335 }}

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OPTIMAL CONTROL PROBLEMS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH OPTIMALITY CRITERION ON THE BORDER Optimal control problems for quasilinear elliptic equations with optimality criterion on the border

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