Index theory in nonlinear analysis [electronic resource] / by Chungen Liu.
Material type:
TextPublisher: Singapore : Springer Singapore : Imprint: Springer, 2019Edition: 1st ed. 2019Description: XXI, 333 p. 94 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9789811372872Subject(s): Dynamics | Ergodic theory | Differential equations | Differential geometry | Dynamical Systems and Ergodic Theory | Ordinary Differential Equations | Differential GeometryDDC classification: 515.39 | 515.48 LOC classification: QA313Online resources: Click here to access online | Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
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e-Books
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Central Library, Sikkim University | 515.39 (Browse shelf(Opens below)) | Not for loan | E-3053 |
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.
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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