By using the theory of pseudoinversion of operators and generalized inversion of integral operators, we establish a criterion for the solvability of integrodifferential equations with nondegenerate kernel in Hilbert spaces.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 1, pp. 52–61, January, 2023. Ukrainian DOI: 10.37863/umzh.v75i1.7394.
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Boichuk, O.A., Zhuravlev, V.P. Solvability of Linear Integrodifferential Equations with Nondegenerate Kernel in Hilbert Spaces. Ukr Math J 75, 56–67 (2023). https://doi.org/10.1007/s11253-023-02185-8
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DOI: https://doi.org/10.1007/s11253-023-02185-8