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On an inverse boundary-value problem for a pseudoparabolic third-order equation with integral condition of the first kind

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Abstract

An inverse boundary-value problem for the pseudoparabolic equation of the third-order with integral condition is considered. First, the initial problem is reduced to an equivalent (in a certain meaning) problem, for which the theorem of existence and uniqueness is proved. Then, using these results, the existence and the uniqueness of the classical solution of the initial problem are proved.

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Authors and Affiliations

  1. Baku State University, 23, Academician Zakhid Khalilov Str. AZ 1148, Baku, AZ, -1073/1, Azerbaijan Republic

    Yashar T. Mehraliyev & Gulshan Kh. Shafiyeva

Authors
  1. Yashar T. Mehraliyev
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  2. Gulshan Kh. Shafiyeva
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Correspondence to Yashar T. Mehraliyev or Gulshan Kh. Shafiyeva.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 11, No. 2, pp. 240–249, April–May, 2014.

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Mehraliyev, Y.T., Shafiyeva, G.K. On an inverse boundary-value problem for a pseudoparabolic third-order equation with integral condition of the first kind. J Math Sci 204, 343–350 (2015). https://doi.org/10.1007/s10958-014-2206-3

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  • DOI: https://doi.org/10.1007/s10958-014-2206-3

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