2017
Том 69
№ 9

All Issues

Nonlinear equations with essentially infinite-dimensional differential operators

Bogdanskii Yu. V., Statkevych V. M.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1822-1827.

Citation Example: Bogdanskii Yu. V., Statkevych V. M. Nonlinear equations with essentially infinite-dimensional differential operators // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1571–1576.

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