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

abstract

  • © 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 Schrödinger systems on R with periodic coefficients, and to Euler–Bernoulli systems in the same context.

author list (cited authors)

  • Howard, P., Jung, S., & Kwon, B.

citation count

  • 2

publication date

  • October 2017