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Boundary-Value Problem for a Loaded Mixed-Type Equation with a Characteristic Line of Type Change

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We prove the unique solvability of the boundary-value problem for a loaded third-order integrodifferential equation with parabolic-hyperbolic operator. By the method of integral equations, we prove the existence and uniqueness of solutions of boundary-value problems.

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Authors and Affiliations

  1. Khorezm Ma’mun Academy, Khiva, Uzbekistan, 220900

    U. I. Baltaeva

  2. Urgench State University, Urgench, Uzbekistan, 220100

    U. I. Baltaeva

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  1. U. I. Baltaeva
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Correspondence to U. I. Baltaeva.

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Translated from Neliniini Kolyvannya, Vol. 24, No. 3, pp. 306–317, July–September, 2021.

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Baltaeva, U.I. Boundary-Value Problem for a Loaded Mixed-Type Equation with a Characteristic Line of Type Change. J Math Sci 272, 202–214 (2023). https://doi.org/10.1007/s10958-023-06410-4

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  • DOI: https://doi.org/10.1007/s10958-023-06410-4

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