The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0, 1]
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2017, Springer Science+Business Media, LLC. 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 Schrdinger systems on R with periodic coefficients, and to EulerBernoulli systems in the same context.