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Two Problems for Fourth Order Equations with Nonlocal Conditions in Characteristic Domain

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We study the solvability of two characteristic problems for a fourth order equation with nonlocal conditions containing integrals of the solution. Each problem is reduced to two problems for second order equations such that one of them is an integral analog of the Goursat problem for a loaded equation. We find conditions guaranteeing the unique solvability of each problem under consideration.

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Authors and Affiliations

  1. Samara National Research University, 34, Moskovskoe sh., Samara, 443086, Russia

    A. V. Gilev & L. S. Pulkina

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  1. A. V. Gilev
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  2. L. S. Pulkina
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Correspondence to A. V. Gilev.

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Translated from Problemy Matematicheskogo Analiza 122, 2023, pp. 39-46.

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Gilev, A.V., Pulkina, L.S. Two Problems for Fourth Order Equations with Nonlocal Conditions in Characteristic Domain. J Math Sci 270, 547–555 (2023). https://doi.org/10.1007/s10958-023-06365-6

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  • DOI: https://doi.org/10.1007/s10958-023-06365-6

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