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

• Date: 2020
• Main Authors: Il’kiv, V. S., Strap , N. I., Volyanska , I. I., Iлькiв, В. С., Страп, Н. І., Волянська, I. I.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2270
• Journal Title: 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...