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Controllability Conditions for Fredholm Integrodifferential Equations with Degenerate Kernel in Banach Spaces

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By the theory of generalized inversion of operators and integral operators, we establish a criterion for the solvability and find the general form of solutions of an integrodifferential equation with degenerate kernel and control in a Banach space. The general form of control for which these solutions exist is also determined.

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Authors and Affiliations

  1. Polissya National University, Staryi Ave., 7, Zhytomyr, 10008, Ukraine

    V. P. Zhuravlev, N. V. Honhalo & I. P. Slyusarenko

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  1. V. P. Zhuravlev
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  2. N. V. Honhalo
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  3. I. P. Slyusarenko
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Correspondence to V. P. Zhuravlev.

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Translated from Neliniini Kolyvannya, Vol. 24, No. 4, pp. 482–497, October–December, 2021.

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Zhuravlev, V.P., Honhalo, N.V. & Slyusarenko, I.P. Controllability Conditions for Fredholm Integrodifferential Equations with Degenerate Kernel in Banach Spaces. J Math Sci 273, 230–247 (2023). https://doi.org/10.1007/s10958-023-06496-w

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