书目名称 | Critical Point Theory and Hamiltonian Systems | 编辑 | Jean Mawhin,Michel Willem | 视频video | http://file.papertrans.cn/241/240088/240088.mp4 | 丛书名称 | Applied Mathematical Sciences | 图书封面 |  | 描述 | FACHGEB 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 | 出版日期 | Book 1989 | 关键词 | Boundary value problem; differential equation; mechanics; minimum; ordinary differential equation; partia | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4757-2061-7 | isbn_softcover | 978-1-4419-3089-7 | isbn_ebook | 978-1-4757-2061-7Series ISSN 0066-5452 Series E-ISSN 2196-968X | issn_series | 0066-5452 | copyright | Springer Science+Business Media New York 1989 |
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