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

• 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
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...