The perturbation theory is constructed in the Fréchet and Hilbert spaces. An iterative process is proposed for finding branching solutions.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, No. 9, pp. 1181–1188, September, 2015.
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Boichuk, A.A., Pokutnyi, A.A. Perturbation Theory of Operator Equations in the FréChet and Hilbert Spaces. Ukr Math J 67, 1327–1335 (2016). https://doi.org/10.1007/s11253-016-1156-y
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DOI: https://doi.org/10.1007/s11253-016-1156-y