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On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions

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Abstract

A theorem on the continuous dependence of the solution of a differential equation on the right-hand side and the boundary conditions of general form is proved.

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References

  1. A. F. Filippov, Introduction to the Theory of Differential Equations (URSS, Moscow, 2007).

    Google Scholar 

  2. R. E. Edwards, Functional Analysis. Theory and Applications (Dover Publications, Inc., New York, 1995).

    Google Scholar 

  3. E. R. Avakov and G. G. Magaril-Ilyaev, “General implicit function theorem for close mappings,” Proc. Steklov Inst. Math. 315, 1 (2021).

    Article  MathSciNet  MATH  Google Scholar 

  4. G. G. Magaril-Ilyaev and V. M. Tikhomirov, Convex Analysis: Theory and Applications (AMS, Providence, RI, 2003).

    Book  Google Scholar 

  5. V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control (Springer, New York, NY, 1987).

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Authors and Affiliations

  1. V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow, 117997, Russia

    E. R. Avakov

  2. Lomonosov Moscow State University, Moscow, 119899, Russia

    G. G. Magaril-Il’yaev

  3. Institute for Information Transmission Problems of Russian Academy of Sciences (Kharkevich Institute), Moscow, 127051, Russia

    G. G. Magaril-Il’yaev

  4. Southern Mathematical Institute of the Vladikavkaz Scientific Center of Russian Academy of Sciences, Vladikavkaz, 362027, Russia

    G. G. Magaril-Il’yaev

Authors
  1. E. R. Avakov
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  2. G. G. Magaril-Il’yaev
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Corresponding author

Correspondence to G. G. Magaril-Il’yaev.

Additional information

Translated from Matematicheskie Zametki, 2023, Vol. 114, pp. 3–17 https://doi.org/10.4213/mzm13986.

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Avakov, E.R., Magaril-Il’yaev, G.G. On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions. Math Notes 114, 3–14 (2023). https://doi.org/10.1134/S0001434623070015

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  • DOI: https://doi.org/10.1134/S0001434623070015

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