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Chungen Liu 
Index theory in nonlinear analysis 

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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.

€90.94
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Innehållsförteckning

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.

Språk Engelska ● Formatera PDF ● Sidor 333 ● ISBN 9789811372872 ● Filstorlek 3.6 MB ● Utgivare Springer Singapore ● Stad Singapore ● Land SG ● Publicerad 2019 ● Nedladdningsbara 24 månader ● Valuta EUR ● ID 7011702 ● Kopieringsskydd Social DRM

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