The role of a priori estimates in the method of non-local continuation of solution by parameter

DOI10.26516/1997-7670.2020.34.67OpenAlexW3112997659MaRDI QIDQ2228430

Nikolay Aleksandrovich Sidorov

Publication date: 17 February 2021

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1360

zbMATH Keywords

global solvabilityNewton-Kantorovich methodoperator equationuniqueness of solutionhomotopy analysis methodparameter continuation method

Mathematics Subject Classification ID

Nonlinear operators and their properties (47H99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of Volterra operator-integral equations in the nonregular case by the successive approximation method
• Locally invertible operators and the method of continuation with respect to parameter
• A class of degenerate differential equations with convergence
• On the homotopy analysis method for nonlinear problems.
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation technique
• Book review of: N. A. Sidorov et al., Toward general theory of differential-operator and kinetic models
• Nonlinear operator equations with a functional perturbation of the argument of neutral type
• The polymerase chain reaction model analyzed by the homotopy perturbation method
• On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods
• Solution of Irregular Systems of Partial Differential Equations Using Skeleton Decomposition of Linear Operators

This page was built for publication: The role of a priori estimates in the method of non-local continuation of solution by parameter