Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Nikolay Sidorov

ISBN 10: 9401721238 ISBN 13: 9789401721233

Verlag: Springer

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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.

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Titel: Lyapunov-Schmidt Methods in Nonlinear ...
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Lyapunov-schmidt Methods In Nonlinear Analysis And Applications (mathematics And Its Applications)

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

Verlag: Springer, 2002

ISBN 10: 1402009410 ISBN 13: 9781402009419

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Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Nikolay Sidorov (u. a.)

Verlag: Springer, 2010

ISBN 10: 9048161509 ISBN 13: 9789048161508

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Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Nikolay Sidorov

Verlag: Springer Netherlands, Springer Netherlands Okt 2002, 2002

ISBN 10: 1402009410 ISBN 13: 9781402009419

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Buch. Zustand: Neu. 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]).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 572 pp. Englisch. Artikel-Nr. 9781402009419

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Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Nikolay Sidorov

Verlag: Springer Netherlands, 2010

ISBN 10: 9048161509 ISBN 13: 9789048161508

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Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

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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]). Artikel-Nr. 9789048161508

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Lyapunov-Schmidt Methods in Nonlinear Analysis and Applications

Nikolay Sidorov

Verlag: Springer Netherlands, Springer Netherlands, 2002

ISBN 10: 1402009410 ISBN 13: 9781402009419

Neu Hardcover

Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

Verk�uferbewertung 5 von 5 Sternen

Buch. 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]). Artikel-Nr. 9781402009419

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