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Index theory in nonlinear analysis

Liu, Chungen.

Index theory in nonlinear analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Index theory in nonlinear analysisby Chungen Liu.
作者:	Liu, Chungen.
出版者:	Singapore :Springer Singapore :2019.
面頁冊數:	xxi, 333 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Nonlinear functional analysis.
電子資源:	https://doi.org/10.1007/978-981-13-7287-2
ISBN:	9789811372872$q(electronic bk.)

Index theory in nonlinear analysis
Liu, Chungen.

Index theory in nonlinear analysis[electronic resource] /by Chungen Liu. - Singapore :Springer Singapore :2019. - xxi, 333 p. :ill., digital ;24 cm.

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.

ISBN: 9789811372872$q(electronic bk.)

Standard No.: 10.1007/978-981-13-7287-2doiSubjects--Topical Terms:

229319
Nonlinear functional analysis.

LC Class. No.: QA321.5 / .L583 2019

Dewey Class. No.: 515.7248

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245 1 0 $a Index theory in nonlinear analysis $h [electronic resource] / $c by Chungen Liu.
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300 $a xxi, 333 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Nonlinear functional analysis. $3 229319
650 0 $a Index theory (Mathematics) $3 677384
650 1 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Differential Geometry. $3 273785
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
856 4 0 $u https://doi.org/10.1007/978-981-13-7287-2
950 $a Mathematics and Statistics (Springer-11649)