On small solutions of nonlinear equations with vector parameter in sectorial neighborhoods

DOI10.1134/S0001434612010105zbMath1303.47080MaRDI QIDQ2435917

Alena Ivanovna Dreglya, Nikolay Aleksandrovich Sidorov, Roman Yur'evich Leont'ev

Publication date: 21 February 2014

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

zbMATH Keywords

Banach spaceFredholm operatornonlinear operator equationregularizersuccessive approximationorder of smallnessSchmidt's lemmasectorial neighborhood

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) (Semi-) Fredholm operators; index theories (47A53) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Nonlinear ill-posed problems (47J06) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (5)

On the construction of the trajectory of a dynamical system with initial data on the hyperplanes ⋮ Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind ⋮ On the occasion of the 80th birthday of Professor N. A. Sidorov ⋮ The role of a priori estimates in the method of non-local continuation of solution by parameter ⋮ 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
• GROUP SYMMETRY OF THE LYAPUNOV-SCHMIDT BRANCHING EQUATION AND ITERATIVE METHODS IN THE PROBLEM OF A BIFURCATION POINT
• Interlaced branching equations in the theory of non-linear equations
• Explicit and implicit parametrizations in the construction of branching solutions by iterative methods
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