Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications
Author:   Nikolay Sidorov ,  Boris Loginov ,  A.V. Sinitsyn ,  M.V. Falaleev
Publisher:   Springer
Edition:   1st ed. Softcover of orig. ed. 2003
Volume:   550
ISBN:  

9789048161508


Pages:   548
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications


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Overview

This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operator-differential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics.The authors expound the recent result on the generalized eigen-value problem, the perturbation method, Schmidt's pseudo-inversion for regularization of linear and nonlinear problems in the branching theory and group methods in bifurcation theory. The book covers regular iterative methods in a neighborhood of branch points and the theory of differential-operator equations with a non-invertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.

Full Product Details

Author:   Nikolay Sidorov ,  Boris Loginov ,  A.V. Sinitsyn ,  M.V. Falaleev
Publisher:   Springer
Imprint:   Springer
Edition:   1st ed. Softcover of orig. ed. 2003
Volume:   550
Dimensions:   Width: 15.50cm , Height: 2.90cm , Length: 23.50cm
Weight:   0.866kg
ISBN:  

9789048161508


ISBN 10:   9048161509
Pages:   548
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

1. On Regularization of Linear Equations on the Basis of Perturbation Theory.- 2. Investigation of Bifurcation Points of a Nonlinear Equations.- 3. Regularization of Computation of Solutions in a Neighborhood of the Branch Point.- 4. Iterations, Interlaced Equations and Lyapunov Convex Majorants in Nonlinear Analysis.- 5. Methods of Representation Theory and Group Analysis in Bifurcation Theory.- 6. Singular Dih’ferential Equations in Banach Spaces.- 7. Steady-State Solutions of the Vlasov—Maxwell System.- Appendices.- A— Positive solutions of the nonlinear singular boundary value problem of magnetic insulation.- References.

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