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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.

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Table des matières

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.

Langue Anglais ● Format PDF ● Pages 333 ● ISBN 9789811372872 ● Taille du fichier 3.6 MB ● Maison d’édition Springer Singapore ● Lieu Singapore ● Pays SG ● Publié 2019 ● Téléchargeable 24 mois ● Devise EUR ● ID 7011702 ● Protection contre la copie DRM sociale

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