Year: 2024
Type: article
Abstract: We propose a constructive form of the Newton–Kantorovich method to obtain solutions for evolutionary equations with small nonlinearities. The construction is applicable to equations in non-Banach linear spaces. The paper presents only a sketch of the method, without specifying the norms involved and without giving necessary $$\varepsilon$$ – $$\delta$$ details.
Authors: Andrey V. Dymov, Sergei B. Kuksin
Institutions: National Research University Higher School of Economics, Peoples' Friendship University of Russia, Steklov Mathematical Institute, Centre National de la Recherche Scientifique, Shandong University, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4409076750