The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0, 1]

Working with general linear Hamiltonian systems on [0, 1], and with a wide range of self-adjoint boundary conditions, including both separated and coupled, we develop a general framework for relating the Maslov index to spectral counts. Our approach is illustrated with applications to Schrödinger sy...

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Veröffentlicht in:	Journal of dynamics and differential equations 2018-12, Vol.30 (4), p.1703-1729
Hauptverfasser:	Howard, Peter, Jung, Soyeun, Kwon, Bongsuk
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Boundary conditions Hamiltonian functions Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Working with general linear Hamiltonian systems on [0, 1], and with a wide range of self-adjoint boundary conditions, including both separated and coupled, we develop a general framework for relating the Maslov index to spectral counts. Our approach is illustrated with applications to Schrödinger systems on R with periodic coefficients, and to Euler–Bernoulli systems in the same context.
ISSN:	1040-7294 1572-9222
DOI:	10.1007/s10884-017-9625-z