Index theory in nonlinear analysis
Chungen Liu
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
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.
Kundenbewertungen
L-index, Maslov type index, nonlinear Hamiltonian systems, Lagrangian paths, P-index, Morse index, existence and multiplicity of solutions of wave equations, ordinary differential equations