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Index theory in nonlinear analysis

Index theory in nonlinear analysis
Catalogue Information
Field name Details
Dewey Class 515.39
515.48
Title Index theory in nonlinear analysis ([EBook] /) / by Chungen Liu.
Author Liu, Chungen
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2019.
Publication Singapore : : Springer Singapore : : Imprint: Springer, , 2019.
Physical Details XXI, 333 p. 94 illus. : online resource.
ISBN 9789811372872
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site https://doi.org/10.1007/978-981-13-7287-2
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