Local \(C^{\infty}\)-solvability of nonlinear functional equations
type: Item
instance of: scholarly article
title: Local \(C^{\infty}\)-solvability of nonlinear functional equations
zbMATH Open document ID: 0589.39013
DOI: 10.1007/BF01056221
author: L. P. Kuchko
published in: Ukrainian Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: The author studies the \(C^{\infty}\) local solvability of nonlinear functional equations of the form \((A\phi)(x)=0\) where \((A\phi)(x)=\phi (\Lambda x)-F(x,\phi (x));\) \(\Lambda\) : \({\mathbb{R}}^ n\to {\mathbb{R}}^ n\) is a linear operator and \(F: {\mathbb{R}}^ n\times {\mathbb{R}}^ m\to {\mathbb{R}}^ m\) is a \(C^{\infty}\) map.
Mathematics Subject Classification ID: 39B99
Mathematics Subject Classification ID: 26B15
zbMATH DE Number: 3946803
zbMATH Keywords: local solvability
zbMATH Keywords: nonlinear
reviewed by: Stefan Balint
MaRDI profile type: Publication
cites work: Q5761278
cites work: Invariant normal forms of formal series
full work available at URL: https://doi.org/10.1007/bf01056221
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description: scientific article; zbMATH DE number 3946803