An Iteration Method for Bifurcation Problem Involving Fredholm Mappings

DOI10.1002/mana.3211480113zbMath0735.47040OpenAlexW2054011273MaRDI QIDQ3971458

Nguyen Xuan Tan

Publication date: 25 June 1992

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.3211480113

zbMATH Keywords

Lyapunov-Schmidt procedureexistence of bifurcation solutionsparametric family of nontrivial solutionsSeidel-Newton methods

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Applications of the blowing-up construction and algebraic geometry to bifurcation problems
• On the local structure of the zero-set of a Banach space valued mapping
• Loss of stability and bifurcation at a double eigenvalue
• Bifurcation from simple eigenvalues
• Bifurcation from Characteristic Values for Equations Involving Fredholm Mappings with Applications to Partial Differential Equations. II Application
• An Analytical Approach to Bifurcation Problems with Applications to Partial Differential Equations
• An analytical study of bifurcation problems for equations involving Fredholm mappings
• Bifurcation from Characteristic Values for Equations Involving Fredholm Mappings with Applications to Partial Differential Equations, I. Theory
• Local structure of the zero-sets of differentiable mappings and application to bifurcation theory.
• Zur Lösung eines Bifurkationsproblems für die KARMANschen Gleichungen im Fall der rechteckigen Platte
• Bifurcation Theory in Real Banach Space