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Linear Fredholm and Volterra Partial Integral Equations in Anisotropic Lebesgue Spaces

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We obtain conditions for the existence and uniqueness of solutions to linear Fredholm and Volterra partial integral equations in anisotropic Lebesgue spaces.

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References

  1. J. M. Appell, A. S. Kalitvin, and P. P. Zabrejko, Partial Integral Operators and Integro-Differential Equations, Marcel Dekker, New York (2000).

    Book  MATH  Google Scholar 

  2. A. S. Kalitvin, A. I. Inozemtsev, and V. A. Kalitvin, “Integral equations with multidimensional partial integrals,” J. Math. Sci. 249, No. 6, 954–966 (2020).

    Article  MathSciNet  MATH  Google Scholar 

  3. L. N. Lyakhov and A. I. Inozemtsev, “Fredholm equations with multi-dimensional partial integrals in anisotropic Lebesgue spaces,” J. Math. Sci. 255, No. 6, 715–725 (2021).

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Correspondence to A. I. Inozemtsev.

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Translated from Problemy Matematicheskogo Analiza 122, 2023, pp. 47-52.

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Inozemtsev, A.I., Barysheva, I.V. Linear Fredholm and Volterra Partial Integral Equations in Anisotropic Lebesgue Spaces. J Math Sci 270, 556–561 (2023). https://doi.org/10.1007/s10958-023-06366-5

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  • DOI: https://doi.org/10.1007/s10958-023-06366-5

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