Regularization of simple solutions of nonlinear equations in the neighborhood of a branching point

DOI10.1007/BF00967373zbMath0438.47063OpenAlexW2013285094MaRDI QIDQ1141899

V. A. Trenogin, Nikolay Aleksandrovich Sidorov

Publication date: 1978

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/61728

zbMATH Keywords

stable algorithmsregularized equationssimple solutions in branching theory

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Solving the Hammerstein integral equation in the irregular case by successive approximations ⋮ On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods

Cites Work

• An iteration method for studying the bifurcation of solutions of the nonlinear equations, \(L(\lambda)u+\varepsilon R(\lambda,u)=0\)
• The Tikhonov regularization of a problem on bifurcation points of nonlinear operators
• Nonlinear bifurcation
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