Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications: 550 (Mathematics and Its Applications, 550) - Hardcover

Sidorov, Nikolay; Loginov, Boris; Sinitsyn, A.V.; Falaleev, M.V.

 
9781402009419: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications: 550 (Mathematics and Its Applications, 550)
Hardcover
ISBN 10: 1402009410 ISBN 13: 9781402009419
Publisher: Springer, 2002

Synopsis

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.

"synopsis" may belong to another edition of this title.

Synopsis

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2002
Language
English
ISBN 10 
1402009410
ISBN 13 
9781402009419
Binding
Hardcover
Number of pages
568

Other Popular Editions of the Same Title

9789048161508: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications: 550 (Mathematics and Its Applications, 550)

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ISBN 10:  9048161509 ISBN 13:  9789048161508
Publisher: Springer, 2010
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