Solving the Hammerstein integral equation in the irregular case by successive approximations

DOI10.1007/S11202-010-0033-4zbMath1248.45004OpenAlexW2160683452MaRDI QIDQ606031

Denis Nikolaevich Sidorov, Nikolay Aleksandrovich Sidorov

Publication date: 15 November 2010

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

Full work available at URL: https://doi.org/10.1007/s11202-010-0033-4

zbMATH Keywords

convergencebifurcationnonlinear integral equationHammerstein equationl successive approximation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Abstract bifurcation theory involving nonlinear operators (47J15) Theoretical approximation of solutions to integral equations (45L05)

Related Items (5)

Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind ⋮ Numerical solution of multiple nonlinear Volterra integral equations ⋮ Differential equations in Banach spaces with an noninvertible operator in the principal part and nonclassical initial conditions ⋮ On a class of nonlinear integral equations of the Hammerstein-Volterra type on a semiaxis ⋮ Classic solutions of boundary value problems for partial differential equations with operator of finite index in the main part of equation

Cites Work

• Regularization of simple solutions of nonlinear equations in the neighborhood of a branching point
• An \(N\)-step iterative method in the theory of the branching of solutions of nonlinear equations
• The numerical treatment of non-trivial bifurcation points
• GROUP SYMMETRY OF THE LYAPUNOV-SCHMIDT BRANCHING EQUATION AND ITERATIVE METHODS IN THE PROBLEM OF A BIFURCATION POINT
• Explicit and implicit parametrizations in the construction of branching solutions by iterative methods
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