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Constructive method for solving a boundary value problem for ordinary differential equations

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Abstract

We suggest a method for solving a boundary value problem for ordinary differential equations with boundary conditions in the presence of state and integral constraints. The method is based on the embedding principle, which permits one to reduce the original boundary value problem to a special optimal control problem with the use of the general solution of a Fredholm integral equation of the first kind.

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References

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Authors and Affiliations

  1. Al-Farabi Kazakh National University, Almaty, Kazakhstan

    S. A. Aisagaliev & M. N. Kalimoldaev

Authors
  1. S. A. Aisagaliev
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  2. M. N. Kalimoldaev
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Correspondence to S. A. Aisagaliev.

Additional information

Original Russian Text © S.A. Aisagaliev, M.N. Kalimoldaev, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 2, pp. 147–160.

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Aisagaliev, S.A., Kalimoldaev, M.N. Constructive method for solving a boundary value problem for ordinary differential equations. Diff Equat 51, 149–162 (2015). https://doi.org/10.1134/S0012266115020019

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  • DOI: https://doi.org/10.1134/S0012266115020019

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