Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications
Publisher: Sidorov Nikolay Loginov Boris Sinitsyn A V; Springer
Published: Dec 07, 2010
Format: paperback
Number of pages: 572
ISBN-13: 9789048161508
Description: 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.
Notes: Source title: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications)