We establish the conditions of existence and determine the general structure of solutions of resonant and iterative equations in Banach spaces and propose their algorithmic realization.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 10, pp. 1321–1330, October, 2019.
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Boichuk, O.A., Makarov, V.L. & Feruk, V.A. A Criterion of Solvability of Resonant Equations and Construction of Their Solutions. Ukr Math J 71, 1510–1521 (2020). https://doi.org/10.1007/s11253-020-01728-7
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DOI: https://doi.org/10.1007/s11253-020-01728-7