The Optimal Vector Control for the Elastic Oscillations Described by Fredholm Integral-Differential Equations

  • Elmira AbdyldaevaEmail author
  • Akylbek Kerimbekov
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 275)


In this paper, we investigate the nonlinear problem of the optimal vector control for oscillation processes described by Fredholm integro-differential equations in partial derivatives when function of external sources nonlinearly depend on control parameters. It was found that the system of nonlinear integral equations,which obtained relatively to the components of the optimal vector control, have the property of equal relations. This fact lets us to simplify the procedure of the constructing the solution of the nonlinear optimization problem. We have developed algorithm for constructing the solution of the nonlinear optimization problem.


Optimal control Fredholm integral equations Boundary value problems 


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Authors and Affiliations

  1. 1.Department of Mathematics, Kyrgyz-Turkish “Manas” UniversityBishkekKyrgyzstan
  2. 2.Department of Applied Mathematics and InformaticsKyrgyz-Russian Slavic UniversityBishkekKyrgyzstan

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