TY - GEN AB - 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. AU - Liu, Chungen, CN - QA321.5 DO - 10.1007/978-981-13-7 DO - doi ID - 890636 KW - Nonlinear functional analysis. KW - Index theory (Mathematics) LK - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-7287-2 N2 - 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. SN - 9789811372872 SN - 981137287X T1 - Index theory in nonlinear analysis / TI - Index theory in nonlinear analysis / UR - https://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-7287-2 ER -