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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2015 Volume 6, Number 2, Pages 18–40 (Mi emj192)

This article is cited in 7 papers

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

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.

MSC: Primary 49J20; Secondary 35K20

Received: 18.10.2014

Language: English



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