GROUP SYMMETRY OF THE LYAPUNOV-SCHMIDT BRANCHING EQUATION AND ITERATIVE METHODS IN THE PROBLEM OF A BIFURCATION POINT

DOI10.1070/SM1992v073n01ABEH002535zbMath0807.58008MaRDI QIDQ3979843

Nikolay Aleksandrovich Sidorov, Boris Vladimirovich Loginov

Publication date: 26 June 1992

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/72265

zbMATH Keywords

iteration bifurcation small solutions nonlinear operators group symmetry Lyapunov-Schmidt branching equation

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (7)

On the construction of the trajectory of a dynamical system with initial data on the hyperplanes ⋮ On bifurcation of solutions to the Vlasov-Maxwell system ⋮ Solving the Hammerstein integral equation in the irregular case by successive approximations ⋮ The linear Fredholm integral equations with functionals and parameters ⋮ On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods ⋮ Analysis of bifurcation points and nontrivial branches of solutions to the stationary Vlasov-Maxwell system ⋮ An \(N\)-step iterative method in the theory of the branching of solutions of nonlinear equations

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