Index theory in nonlinear analysis
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ISBN-13:
9789811372896
Veröffentl:
2020
Einband:
Paperback
Erscheinungsdatum:
15.08.2020
Seiten:
356
Autor:
Chungen Liu
Gewicht:
615 g
Format:
235x155x19 mm
Sprache:
Englisch
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.
Equip readers with both L-index theory and P-index theory
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.
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