Index theory in nonlinear analysis

• Main Author: Liu, Chungen (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Dynamics.; Ergodic theory.; Differential equations.; Differential geometry.; Dynamical Systems and Ergodic Theory.; Ordinary Differential Equations.; Differential Geometry.
• Physical Description: XXI, 333 p. 94 illus. online resource.
• ISBN: 9789811372872
• DOI: 10.1007/978-981-13-7287-2

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.