ENGLISH

Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

By Nikolay Sidorov , Boris Loginov , Aleksandr Sinitsyn , Michail Falaleev (auth.)

Book information

Publisher
Springer Netherlands
Year
2002
ISBN
978-90-481-6150-8, 978-94-017-2122-6
DOI
10.1007/978-94-017-2122-6
Language
english
Format
PDF
Filesize
19 MB (20405331 bytes)
Series
Mathematics and Its Applications 550
Edition
1
Pages
548\563
Time added
2013-12-12 02:00:00
Partial Differential Equations; Functional Analysi

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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