Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications
ISBN/ASIN: 9789048161508,9789401721226 | 2002 | English | pdf | 548/563 pages | 19.5 Mb
Publisher: Springer Netherlands | Author: Nikolay Sidorov, Boris Loginov, Aleksandr Sinitsyn, Michail Falaleev (auth.) | Edition: 1
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.