Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications Book 550) 1st Edition by Nikolay Sidorov | (PDF) Free Download

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    Ebook Info

    • Published: 2010
    • Number of pages: 572 pages
    • Format: PDF
    • File Size: 19.46 MB
    • Authors: Nikolay Sidorov

    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.

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