We consider nonlinear differential equations and boundary-value problems with essentially infinite-dimensional operators (of the Laplace–Lévy type). An analog of the Picard theorem is proved.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 11, pp. 1571–1576, November, 2010.
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Bohdans’kyi, Y.V., Statkevych, V.M. Nonlinear equations with essentially infinite-dimensional differential operators. Ukr Math J 62, 1822–1827 (2011). https://doi.org/10.1007/s11253-011-0471-6
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DOI: https://doi.org/10.1007/s11253-011-0471-6