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On an Inverse Problem for the Hyperbolic Equation

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Abstract

The paper considers the inverse problem of determining the unknown coefficient on the righthand side of the hyperbolic equation. An additional condition for finding the unknown coefficient, which depends on the variable time, is given in the integral form. Theorems on the uniqueness, stability, and existence of the solution have been proved.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan

    Adalat Ya. Akhundov

  2. Lankaran State University, Lankaran, Azerbaijan

    Arasta Sh. Habibova

Authors
  1. Adalat Ya. Akhundov
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  2. Arasta Sh. Habibova
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Corresponding author

Correspondence to Adalat Ya. Akhundov.

Additional information

Translated from Ukrains’kiĭ Matematychnyĭ Visnyk, Vol. 19, No. 3, pp. 305–314, July–September, 2022.

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Akhundov, A.Y., Habibova, A.S. On an Inverse Problem for the Hyperbolic Equation. J Math Sci 268, 139–146 (2022). https://doi.org/10.1007/s10958-022-06187-y

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  • DOI: https://doi.org/10.1007/s10958-022-06187-y

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