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.

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) a...

Table of Contents:

• Linear Algebraic Aspects
• A brief introduction to index functions
• Relative Morse index
• The P-index theory
• The L-index theory
• Maslov type index for Lagrangian paths
• Revisit of Maslov type index for Symplectic Paths
• Applications of P-index
• Applications of L-index
• Multiplicity of brake orbits on a fixed energy surface
• The existence and multiplicity of solutions of wave equations.