Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Download or read book Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications written by Nikolay Sidorov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.