Hilbert problem with measurable data for semilinear equations of the Vekua type

We prove the existence of solutions for the Hilbert boundary-value problem with arbitrary measurable data for the nonlinear equations of the Vekua’s type ∂Z̅̄f(z) = h(z)q(f(z)). The found solutions differ from the classical ones, because our approach is based on the notion of boundary values in th...

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Bibliographic Details
Date:2022
Main Authors: Gutlyanskiĭ, V.Ya., Nesmelova, O.V., Ryazanov, V.I., Yefimushkin, A.S.
Format: Article
Language:English
Published: Видавничий дім "Академперіодика" НАН України 2022
Series:Доповіді НАН України
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/184951
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hilbert problem with measurable data for semilinear equations of the Vekua type / V.Ya. Gutlyanskiĭ, O.V. Nesmelova, V.I. Ryazanov, A.S. Yefimushkin // Доповіді Національної академії наук України. — 2022. — № 2. — С. 3-11. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine