Index theory in nonlinear analysis

Download or read book Index theory in nonlinear analysis written by Chungen Liu and published by Springer. This book was released on 2019-05-22 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.