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Titlebook: Critical Point Theory and Hamiltonian Systems; Jean Mawhin,Michel Willem Book 1989 Springer Science+Business Media New York 1989 Boundary

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发表于 2025-3-21 16:17:01 | 显示全部楼层 |阅读模式
书目名称Critical Point Theory and Hamiltonian Systems
编辑Jean Mawhin,Michel Willem
视频videohttp://file.papertrans.cn/241/240088/240088.mp4
丛书名称Applied Mathematical Sciences
图书封面Titlebook: Critical Point Theory and Hamiltonian Systems;  Jean Mawhin,Michel Willem Book 1989 Springer Science+Business Media New York 1989 Boundary
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
doihttps://doi.org/10.1007/978-1-4757-2061-7
isbn_softcover978-1-4419-3089-7
isbn_ebook978-1-4757-2061-7Series ISSN 0066-5452 Series E-ISSN 2196-968X
issn_series 0066-5452
copyrightSpringer Science+Business Media New York 1989
The information of publication is updating

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发表于 2025-3-21 23:03:42 | 显示全部楼层
Der Weg zur nichteuklidischen Geometrie,A basic problem in mechanics (classical and celestial) is the study of the periodic solutions of Hamiltonian systems
发表于 2025-3-22 02:39:35 | 显示全部楼层
Moderne Verbrauchererziehung und -beratung,When a function has some symmetry properties, one can expect to obtain more precise information on the set of critical points by using, in the minimax approach, correspondingly symmetric sets which are distinguished by a measure of their “size” given by an index theory.
发表于 2025-3-22 04:47:51 | 显示全部楼层
Zur Entwicklung der vertikalen Preisbindung,An autonomous Hamiltonian system . is called . if there exist symmetric matrices .. and .. such that . and ..
发表于 2025-3-22 12:03:44 | 显示全部楼层
发表于 2025-3-22 13:54:46 | 显示全部楼层
Wach auf, wach auf, du deutsches Land,After recalling some preliminary notions from differential geometry, this chapter presents the local and global aspects of the theory of .. These manifolds are a natural extension of the notion of non-degenerate critical point.
发表于 2025-3-22 20:06:03 | 显示全部楼层
The Fenchel Transform and Duality,The . of a function ..(..,.) is defined by the implicit formula . when ∇. is invertible. It has the remarkable property that . or, . so that . is such that ..
发表于 2025-3-22 21:26:14 | 显示全部楼层
Minimization of the Dual Action,A basic problem in mechanics (classical and celestial) is the study of the periodic solutions of Hamiltonian systems
发表于 2025-3-23 02:32:41 | 显示全部楼层
Lusternik-Schnirelman Theory and Multiple Periodic Solutions with Fixed Energy,When a function has some symmetry properties, one can expect to obtain more precise information on the set of critical points by using, in the minimax approach, correspondingly symmetric sets which are distinguished by a measure of their “size” given by an index theory.
发表于 2025-3-23 07:35:37 | 显示全部楼层
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