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ON THE CONTROL PROBLEM FOR THE HEAT TRANFER EQUATION

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Scientific Bulletin of Namangan State University

Scientific Bulletin of Namangan State University

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ARTICLE ANNOTATION

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In this article, we consider the control problem associated with heat transfer. It is required to find control in order to obtain the average value of temperature. It is proved by a mathematical method that such a control exists.

AUTHORS

F.Dexqonov

Mirzo Ulug’bek nomidagi O’zbekiston Milliy universiteti, Toshkent, O’zbekiston

Tags

# краевая задача# boundary value problem# задача управления# параболическое уравнение# parabolic equation# integral equation# control problem# интегральное уравнение# Parabolik tenglama# integral tenglama# boshqaruv masalasi# chegaraviy qiymat masalasi# Laplas almashtirishi

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Article Identifiers

ROI:

https://eroi.uz/11.0031/A0722-0009

DOI:

Not Available

References

Alimov Sh.A. On a control problem associated with the heat transfer process. Eurasian Mathematical Journal, No. 1, pp. 17-30, 2010.

Albeverio S., Alimov Sh.A. On one time-optimal control problem associated with the heat exchange process. Applied Mathematics and Optimization, 47, No. 1, pp. 58-68, 2008.

Alimov Sh.A., Dekhkonov F.N. On the time-optimal control of the heat exchange process. Uzbek Mathematical Journal, No. 2, pp. 4-17, 2019.

Alimov Sh.A., Dekhkonov F.N. On a control problem associated with fast heating of a thin rod. Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2: Iss. 1, Article 1, 2019.

Fattorini H.O. Time-Optimal control of solutions of operational differential equations, SIAM J. Control, 2 pp. 49-65, 1964.