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Numerical Solution to a Control Problem for Integro-Differential Equations

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Abstract

A control problem for an integro-differential equation is approximated by a problem with parameter for a loaded differential equation. A mutual relationship between the qualitative properties of the original and approximate problems is obtained, and estimates for the differences between their solutions are given. A numerical-approximate method for solving the control problem for the integro-differential equation is proposed, and the convergence, stability, and accuracy of the method are examined.

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ACKNOWLEDGMENTS

The authors thank the referees for their careful reading of the manuscript, useful remarks, and suggestions.

Funding

This research was supported and partially supported by the Ministry of Education and Science of the Republic Kazakhstan, grant nos. AP05132455, AP05131220, and AP05132486, respectively.

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Correspondence to A. T. Assanova, E. A. Bakirova or Zh. M. Kadirbayeva.

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Assanova, A.T., Bakirova, E.A. & Kadirbayeva, Z.M. Numerical Solution to a Control Problem for Integro-Differential Equations. Comput. Math. and Math. Phys. 60, 203–221 (2020). https://doi.org/10.1134/S0965542520020049

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  • DOI: https://doi.org/10.1134/S0965542520020049

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