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Solvability conditions of a nonlocal boundary value problem for a differential-operator equation with nonlinearity in a refined Sobolev scale of spaces of functions of several real variables

UDC 517.946+511.37 We investigate the solvability of a nonlocal boundary value problem for a differential equation with nonlinearity. Using the Nash–Mozer iteration scheme, we establish conditions of solvability of the problem in the Hörmander spaces of functions of several real variables that form...

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Datum:2020
Hauptverfasser: Il’kiv, V. S., Strap , N. I., Volyanska , I. I., Iлькiв, В. С., Страп, Н. І., Волянська, I. I.
Format: Artikel
Sprache:Ukrainisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/2270
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:UDC 517.946+511.37 We investigate the solvability of a nonlocal boundary value problem for a differential equation with nonlinearity. Using the Nash–Mozer iteration scheme, we establish conditions of solvability of the problem in the Hörmander spaces of functions of several real variables that form a refined Sobolev scale.
DOI:10.37863/umzh.v72i4.2270

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