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An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation

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Abstract

family of algorithms for solving a linear two-point boundary value problem is constructed in terms of the data of the integrodifferential equation and the boundary condition involved. The convergence conditions for the algorithms are established, and necessary and sufficient conditions for the well-posedness of the problem are found.

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References

  1. D. S. Dzhumabaev, “A method for solving the linear boundary value problem for an integro-differential equation,” Comput. Math. Math. Phys. 50, 1150–1162 (2010).

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  2. D. S. Dzhumabaev, “Criteria for the unique solvability of a linear boundary value problem for an ordinary differential equation,” USSR Comput. Math. Math. Phys. 29(1), 34–46 (1989).

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  3. V. A. Trenogin, Functional Analysis (Nauka, Moscow, 1980) [in Russian].

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Authors and Affiliations

  1. Institute of Mathematics, Ministry for Education and Science of Kazakhstan, ul. Pushkina 125, Almaty, 050010, Kazakhstan

    D. S. Dzhumabaev

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  1. D. S. Dzhumabaev
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Correspondence to D. S. Dzhumabaev.

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Original Russian Text © D.S. Dzhumabaev, 2013, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2013, Vol. 53, No. 6, pp. 914–937.

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Dzhumabaev, D.S. An algorithm for solving a linear two-point boundary value problem for an integrodifferential equation. Comput. Math. and Math. Phys. 53, 736–758 (2013). https://doi.org/10.1134/S0965542513060067

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  • DOI: https://doi.org/10.1134/S0965542513060067

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