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Index theory in nonlinear analysis
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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
Links to Related Works
Subject References:
Differential Equations
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Differential Geometry
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Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Ordinary differential equations
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Authors:
author
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Liu, Chungen
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515.39
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515.48
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515.39 (DDC 23)
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