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Existence of Solutions of Linear Set-Valued Integral Equations and Their Properties

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We consider two linear set-valued integral equations, establish the conditions for the existence of their solutions, and determine, in the analytic form, the shape of their sections at any time. The results are illustrated by model examples.

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Authors and Affiliations

  1. Odessa State Academy of Building and Architecture, Didrikhson Str., 4, Odessa, 65029, Ukraine

    T. O. Komleva & A. V. Plotnikov

  2. I. Mechnikov Odessa National University, Dvoryanskaya Str., 2, Odessa, 65082, Ukraine

    N. V. Skripnik

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  1. T. O. Komleva
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  2. A. V. Plotnikov
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  3. N. V. Skripnik
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Correspondence to A. V. Plotnikov.

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Translated from Neliniini Kolyvannya, Vol. 25, No. 4, pp. 349–360, October–December, 2022.

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Komleva, T.O., Plotnikov, A.V. & Skripnik, N.V. Existence of Solutions of Linear Set-Valued Integral Equations and Their Properties. J Math Sci 277, 268–280 (2023). https://doi.org/10.1007/s10958-023-06831-1

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  • DOI: https://doi.org/10.1007/s10958-023-06831-1

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