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Inverse problem of determining the kernel in an integro-differential equation of parabolic type

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Abstract

We study the inverse problem of determining the multidimensional kernel of the integral term in a parabolic equation of second order. As additional information, the solution of the direct problem is given on the hyperplane x n = 0. We prove a local existence and uniqueness theorem for the inverse problem.

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Authors and Affiliations

  1. Bukhara State University, Bukhara, Uzbekistan

    D. K. Durdiev & A. Sh. Rashidov

Authors
  1. D. K. Durdiev
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  2. A. Sh. Rashidov
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Correspondence to D. K. Durdiev.

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Original Russian Text © D.K. Durdiev, A.Sh. Rashidov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 1, pp. 110–116.

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Durdiev, D.K., Rashidov, A.S. Inverse problem of determining the kernel in an integro-differential equation of parabolic type. Diff Equat 50, 110–116 (2014). https://doi.org/10.1134/S0012266114010145

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  • DOI: https://doi.org/10.1134/S0012266114010145

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