Lyapunov-schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications)

Nikolay Sidorov

ISBN 10: 9048161509 / ISBN 13: 9789048161508

Published by Springer, 2002

About this Item

2002 edition. 566 pages. 9.25x6.10x1.29 inches. In Stock.

Seller Inventory # x-9048161509

Bibliographic Details

• Title: Lyapunov-schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications)
• Publisher: Springer
• Publication Date: 2002
• Language: English
• ISBN 10: 9048161509
• ISBN 13: 9789048161508
• Binding: Paperback
• Condition: Brand New
• Weight: 0.87 kilograms

About this title

Synopsis

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.