Index Theory in Nonlinear Analysis
暫譯: 非線性分析中的指數理論
Liu, Chungen
- 出版商: Springer
- 出版日期: 2019-06-03
- 售價: $4,780
- 貴賓價: 9.5 折 $4,541
- 語言: 英文
- 頁數: 333
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 9811372861
- ISBN-13: 9789811372865
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商品描述
This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations.
商品描述(中文翻譯)
本書提供有關指數理論及其應用的詳細資訊,特別是 Maslov 型指數理論及其對哈密頓系統非週期解的迭代理論。書中重點介紹兩種指數理論:L 指數理論(拉格朗日邊界條件的指數理論)和 P 指數理論(P 邊界條件的指數理論)。此外,本書還向讀者介紹了在非線性哈密頓系統的對稱週期解及涉及偏微分方程的選定邊值問題的指數理論研究中的最新進展。