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Inverse Problem for 1D Pseudo-parabolic Equation

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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

In this work we consider an inverse problem of finding a coefficient of right hand side of pseudo-parabolic equation. By successive approximation method the existence and uniqueness of a strong solution are proved. Under the integral overdetermination condition, which has important applications in various areas of applied science and engineering.

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Acknowledgements

This work was partially supported by the Grant No. N1781/GF4 of MES RK, Kazakhstan.

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Authors and Affiliations

  1. Al-Farabi Kazakh National University, 71 al-Farabi av., Almaty, 050038, Kazakhstan

    Khonatbek Khompysh

Authors
  1. Khonatbek Khompysh
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Correspondence to Khonatbek Khompysh .

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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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Khompysh, K. (2017). Inverse Problem for 1D Pseudo-parabolic Equation. 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_36

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