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Inverse Boundary Value Problem for a Third-Order Partial Differential Equation with Integral Conditions

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Abstract

In this paper, we study a nonlinear inverse problem for a third-order partial differential equation with integral conditions. This inverse problem is formulated as an auxiliary inverse problem which, in turn, is reduced to the operator equation in a specified Banach space using the method of spectral analysis. Finally, the existence and uniqueness of this operator equation is proved by applying the contraction mapping principle.

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Acknowledgements

The authors express their gratitude to the reviewers for their valuable comments and remarks made a significant contribution to improving the text of the article and understanding the results.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Baku State University, 1148, Baku, Azerbaijan

    Ziyatkhan Seyfaddin Aliyev

  2. Department of Differential Equations, Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan, 1141, Baku, Azerbaijan

    Ziyatkhan Seyfaddin Aliyev & Elmira Haci Yusifova

  3. Department of Differential Equations, Baku State University, 1148, Baku, Azerbaijan

    Yashar Topush Mehraliyev

Authors
  1. Ziyatkhan Seyfaddin Aliyev
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  2. Yashar Topush Mehraliyev
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  3. Elmira Haci Yusifova
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Correspondence to Ziyatkhan Seyfaddin Aliyev.

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Communicated by Majid Gazor.

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Aliyev, Z.S., Mehraliyev, Y.T. & Yusifova, E.H. Inverse Boundary Value Problem for a Third-Order Partial Differential Equation with Integral Conditions. Bull. Iran. Math. Soc. 47, 1641–1660 (2021). https://doi.org/10.1007/s41980-020-00464-9

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  • DOI: https://doi.org/10.1007/s41980-020-00464-9

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