Overview
Equip readers with both L-index theory and P-index theory
Demonstrate recent progress on index theories for a symmetric periodic solution of nonlinear Hamiltonian systems
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
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Authors and Affiliations
Bibliographic Information
Book Title: Index theory in nonlinear analysis
Authors: Chungen Liu
DOI: https://doi.org/10.1007/978-981-13-7287-2
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2019
Hardcover ISBN: 978-981-13-7286-5Published: 03 June 2019
Softcover ISBN: 978-981-13-7289-6Published: 15 August 2020
eBook ISBN: 978-981-13-7287-2Published: 22 May 2019
Edition Number: 1
Number of Pages: XXI, 333
Number of Illustrations: 94 b/w illustrations
Topics: Dynamical Systems and Ergodic Theory, Ordinary Differential Equations, Differential Geometry