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Critical Point Theory and Hamiltonian Systems by Jean Mawhin (Hardcover, 1989)

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The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds. Each technique is illustrated by applications to the discussion of the existence, multiplicity, and bifurcation of the periodic solutions of Hamiltonian systems. Among the treated questions are the periodic solutions with fixed period or fixed energy of autonomous systems, the existence of subharmonics in the non-autonomous case, the asymptotically linear Hamiltonian systems, free and forced superlinear problems. Application of those results to the equations of mechanical pendulum, to Josephson systems of solid state physics and to questions from celestial mechanics are given. The aim of the book is to introduce a reader familiar to more classical techniques of ordinary differential equations to the powerful approach of modern critical point theory. The style of the exposition has been adapted to this goal. The new topological tools are introduced in a progressive but detailed way and immediately applied to differential equation problems. The abstract tools can also be applied to partial differential equations and the reader will also find the basic references in this direction in the bibliography of more than 500 items which concludes the book. ERSCHEIN

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9780387969084
eBay Product ID (ePID)
95247611

Product Key Features

Book Title
Critical Point Theory and Hamiltonian Systems
Author
Jean Mawhin
Format
Hardcover
Language
English
Topic
Physics
Publication Year
1989
Type
Textbook
Number of Pages
278 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
74
Item Weight
1310g

Additional Product Features

Title_Author
Jean Mawhin
Series Title
Applied Mathematical Sciences
Country/Region of Manufacture
United States

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Critical Point Theory and Hamiltonian Systems by Jean Mawhin (Hardcover, 1989)

About this product

Product Information

Product Identifiers

Product Key Features

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Best Selling in Books

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