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

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Eurasian Mathematical Journal, 2015, Volume 6, Number 2, Pages 18–40 (Mi emj192)

This article is cited in 7 scientific papers (total in 7 papers)

Optimal distributed control for the processes of oscillation described by Fredholm integro-differential equations

A. K. Kerimbekov^a, E. F. Abdyldaeva^b

^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

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Abstract: 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.

Keywords and phrases: boundary value problem, generalized solution, approximate solutions, convergence, functional, the maximum principle, the optimality condition, nonlinear integral equations.

Received: 18.10.2014

Bibliographic databases:

Document Type: Article

MSC: Primary 49J20; Secondary 35K20

Language: English

Citation: 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

Citation in format AMSBIB

\Bibitem{KerAbd15}

\by A.~K.~Kerimbekov, E.~F.~Abdyldaeva

\paper Optimal distributed control for the processes of oscillation described by Fredholm integro-differential equations

\jour Eurasian Math. J.

\yr 2015

\vol 6

\issue 2

\pages 18--40

\mathnet{http://mi.mathnet.ru/emj192}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374499500002}

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https://www.mathnet.ru/eng/emj/v6/i2/p18

This publication is cited in the following 7 articles:

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	186
Full-text PDF :	75
References:	42

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