Index theory in nonlinear analysis

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Gebonden, blz. | Engels
Springer Nature Singapore | e druk, 2019
ISBN13: 9789811372865
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Springer Nature Singapore e druk, 2019 9789811372865
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Samenvatting

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.

Specificaties

ISBN13:9789811372865
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer Nature Singapore

Inhoudsopgave

<p>Linear Algebraic Aspects.-&nbsp;A brief introduction to index functions.- Relative Morse index&nbsp;.-&nbsp;The P-index theory.-&nbsp;The L-index theory.-&nbsp;Maslov type index for Lagrangian paths.-&nbsp;Revisit of Maslov type index for Symplectic Paths.-&nbsp;Applications of P-index.-&nbsp;Applications of L-index.-&nbsp;Multiplicity of brake orbits on a fixed energy surface.-&nbsp;The existence and multiplicity of solutions of wave equations.</p>

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        Index theory in nonlinear analysis