Solvability Conditions for the Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Refined Sobolev Scale of Spaces of Functions of Many Real Variables

We study the solvability of the nonlocal boundary-value problem for a differential equation with weak nonlinearity. By using the Nash–Mozer iterative scheme, we establish the solvability conditions for the posed problem in the Hilbert H¨ormander spaces of functions of several real variables, which f...

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Vydané v:	Ukrainian mathematical journal Ročník 72; číslo 4; s. 515 - 535
Hlavní autori:	Il’kiv, V. S., Strap, N. I., Volyanska, I. I.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	New York Springer US 01.09.2020 Springer Springer Nature B.V
Predmet:	Algebra Analysis Applications of Mathematics Boundary value problems Differential equations Geometry Mathematical analysis Mathematics Mathematics and Statistics Nonlinearity Operators (mathematics) Real variables Statistics
ISSN:	0041-5995, 1573-9376
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