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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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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]). 572 pp. Englisch. Bestandsnummer des Verkäufers 9789048161508
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Preface. 1. On Regularization of Linear Equations on the Basis of Perturbation Theory. 2. Investigation of Bifurcation Points of a Nonlinear Equations. 3. Regularization of Computation of Solutions in a Neighborhood of the Branch Point. 4. Iterations, Inter. Bestandsnummer des Verkäufers 5820002
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Taschenbuch. Zustand: Neu. Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications | Nikolay Sidorov (u. a.) | Taschenbuch | xx | Englisch | 2010 | Springer | EAN 9789048161508 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 107245371
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1. On Regularization of Linear Equations on the Basis of Perturbation Theory.- 2. Investigation of Bifurcation Points of a Nonlinear Equations.- 3. Regularization of Computation of Solutions in a Neighborhood of the Branch Point.- 4. Iterations, Interlaced Equations and Lyapunov Convex Majorants in Nonlinear Analysis.- 5. Methods of Representation Theory and Group Analysis in Bifurcation Theory.- 6. Singular Dih'ferential Equations in Banach Spaces.- 7. Steady-State Solutions of the Vlasov-Maxwell System.- Appendices.- A- Positive solutions of the nonlinear singular boundary value problem of magnetic insulation.- References.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 572 pp. Englisch. Bestandsnummer des Verkäufers 9789048161508
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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]). Bestandsnummer des Verkäufers 9789048161508
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