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
Abstract
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.
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