Periodic Solutions of Singular Lagrangian Systems (Progress in Nonlinear Differential Equations and Their Applications)

Ambrosetti, Antonio; Zelati, Vittorio Coti

ISBN 10: 3764336552 / ISBN 13: 9783764336554

Edité par Birkhauser Verlag AG, 1993

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Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 176 | Sprache: Englisch | Produktart: Bücher. N° de réf. du vendeur 41823537/202

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Titre : Periodic Solutions of Singular Lagrangian ...

Éditeur : Birkhauser Verlag AG

Date d'édition : 1993

Reliure : Couverture rigide

Etat : Sehr gut

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Synopsis :

Nonlinear functional analysis has proven to be a powerful alternative to classical perturbation methods in the study of periodic motions of regular Hamiltonian systems. The authors of this monograph present a summary and synthesis of recent research demonstrating that variational methods can be used to successfully handle systems with singular potential, the Lagrangian systems. The classical cases of the Kepler problem and the N-body problem are used as specific examples. Critical point theory is used to obtain existence results, qualitative in nature, which hold true for broad classes of potentials. These results give a functional frame for systems with singular potential. The authors have provided some valuable methods and tools to researchers working on this constantly evolving topic. At the same time, they present the new approach and results that they have shared over recent years with their colleagues and graduate students.