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On Construction of the Force Function in the Presence of Random Perturbations

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Functional Analysis in Interdisciplinary Applications (FAIA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 216))

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Abstract

The force function is constructed for the given properties of motion, independent from velocities. Previously the stochastic Ito equation is built for a given integral manifold by quasi-inversion method. Further, the equivalent equation of Lagrangian structure is built according to stochastic Ito equation, and then the force function is defined by Lagrange’s function.

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Acknowledgements

This publication is supported by the target program 0085/PTSF-14 from the Ministry of Science and Education of the Republic of Kazakhstan.

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, 125 Pushkin st., Almaty, 050010, Kazakhstan

    Marat I. Tleubergenov

  2. Zhubanov Aktobe Regional State University, 263 Zhubanov brothers st., Aktobe, 030000, Kazakhstan

    Darkhan T. Azhymbaev

Authors
  1. Marat I. Tleubergenov
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  2. Darkhan T. Azhymbaev
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Corresponding author

Correspondence to Marat I. Tleubergenov .

Editor information

Editors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Tynysbek Sh. Kalmenov

  2. Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

    Erlan D. Nursultanov

  3. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

  4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Makhmud A. Sadybekov

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Tleubergenov, M.I., Azhymbaev, D.T. (2017). On Construction of the Force Function in the Presence of Random Perturbations. In: Kalmenov, T., Nursultanov, E., Ruzhansky, M., Sadybekov, M. (eds) Functional Analysis in Interdisciplinary Applications. FAIA 2017. Springer Proceedings in Mathematics & Statistics, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-67053-9_39

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