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Playing around resonance : an invitation to the search of periodic solutions for second order ordinary differential equations
- 作者： Fonda, Alessandro, author.
- 其他作者：
- 其他題名：
- Birkhauser advanced texts basler Lehrbucher.
- 出版： Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名： Birkhauser advanced texts basler Lehrbucher,
- 主題： Boundary value problems. , Hilbert space. , Mathematics. , Ordinary Differential Equations.
- ISBN： 9783319470900 (electronic bk.) 、 9783319470894 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
- 內容註: 1.Preliminaries on Hilbert spaces -- 2.Operators in Hilbert spaces -- 3.The semilinear problem -- 4.The topological degree -- 5.Nonresonance and topological degree -- 6.Playing around resonance -- 7.The variational method -- 8.At resonance, again -- 9.Lusternik-Schnirelmann theory. 10.The Poincare-Birkhoff theorem -- 11.A myriad of periodic solutions.
- 摘要註: This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.
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讀者標籤：
- 系統號： 005373871 | 機讀編目格式
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