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

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

ISBN 10: 9048161509 / ISBN 13: 9789048161508

Verlag: Springer, 2010

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Bestandsnummer des Verkäufers 9789048161508

Bibliografische Details

• Titel: Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications (Mathematics and Its Applications, 550)
• Verlag: Springer
• Erscheinungsjahr: 2010
• Sprache: Englisch
• ISBN-10: 9048161509
• ISBN-13: 9789048161508
• Einband: Softcover
• Zustand: New

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Inhaltsangabe

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.