Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Language: English

Published by Kluwer Academic Publishers, US, 2002

1402009410 / 9781402009419

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Preface Constructing nonlinear parameter-dependent mathematical models is essential in modeling in many scientific research fields. The investigation of branching (bifurcating) solutions of such equations is one of the most important aspects in the analysis of such models. The foundations of the theory of bifurca- tions for the functional equations were laid in the well known publications by AM. Lyapunov (1906) [1, vol. 4] (on equilibrium forms of rotating liq- uids) and E. Schmidt (1908) [1]. The approach proposed by them has been throughly developed and is presently known as the Lyapunov-Schmidt method (see M.M. Vainberg and V.A Trenogin [1, 2]). A valuable part in the founda- tions of the bifurcation theory belongs to A. Poincares ideas [1]. Later, to the end of proving the theorems on existence of bifurcation points, infinite-dimensional generalizations of topological and variational methods were proposed by M.A Krasnoselsky [1], M.M. Vainberg [1] and others. A great contribution to the development and applications of the bifurcation theory has been made by a number of famous 20th century pure and applied mathe- maticians (for example, see the bibliography in E. Zeidler [1]).

Seller Inventory # LU-9781402009419

Title
Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications
Author
Nikolay Sidorov, Boris Loginov, A.V. Sinitsyn, M.V. Falaleev
Publisher
Kluwer Academic Publishers, US
Publication year
2002
Condition
New
Binding
Hardback
Language
English
ISBN 10
1402009410
ISBN 13
9781402009419
Edition
2002 ed.

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