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> Volume 11, Issue 1
Book: LyapunovSchmidt Methods in Nonlinear Analysis and Applications

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Denis Sidorov (dsidorov@mee.tcd.ie) Guest

Posted: Wed Sep 18, 2002 4:40 pm Subject: Book: LyapunovSchmidt Methods in Nonlinear Analysis and Applications 



LyapunovSchmidt Methods in Nonlinear Analysis and Applications
by
Nikolay Sidorov
Dept. of Mathematical Analysis, Irkutsk State University, Russia
Boris Loginov
Ulyanovosk State Technical University, Russia
Aleksandr Sinitsyn
Michail Falaleev
Dept. of Mathematical Analysis, Irkutsk State University, Russia
Book Series: MATHEMATICS AND ITS APPLICATIONS : Volume 550
This book concentrates on the branching solutions of nonlinear operator equations and the theory of degenerate operatordifferential equations especially applicable to algorithmic analysis and nonlinear PDE's in mechanics and mathematical physics.
The authors expound the recent result on the generalized eigenvalue problem, the perturbation method, Schmidt's pseudoinversion 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 differentialoperator equations with a noninvertible operator in the main expression is constructed. Various recent results on theorems of existence are given including asymptotic, approximate and group methods.
The reduction of some mathematics, physics and mechanics problems (capillarygravity surface wave theory, phase transitions theory, AndronovHopf bifurcation, boundaryvalue problems for the VlasovMaxwell system, filtration, magnetic insulation) to operator equations gives rich opportunities for creation and application of stated common methods for which existence theorems and the bifurcation of solutions for these applications are investigated.
Audience:
The book will be of interest to mathematicians, mechanics, physicists and engineers interested in nonlinear equations and applications to nonlinear and singular systems as well as to researchers and students of these topics.
Kluwer Academic Publishers, Dordrecht
Hardbound, ISBN 1402009410
November 2002 , 566 pp.
EUR 174.00 / USD 160.00 / GBP 110.00
See http://www.isu.ru/facs/math/kafedra/matan/prep/snaeng.html for more details about authors 





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