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 |
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| container_end_page | 1729 |
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| container_issue | 4 |
| container_start_page | 1703 |
| container_title | Journal of dynamics and differential equations |
| container_volume | 30 |
| creator | Howard, Peter Jung, Soyeun Kwon, Bongsuk |
| description | 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. |
| doi_str_mv | 10.1007/s10884-017-9625-z |
| format | Article |
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| ispartof | Journal of dynamics and differential equations, 2018-12, Vol.30 (4), p.1703-1729 |
| issn | 1040-7294 1572-9222 |
| language | eng |
| recordid | cdi_proquest_journals_2128608923 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Applications of Mathematics Boundary conditions Hamiltonian functions Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations |
| title | The Maslov Index and Spectral Counts for Linear Hamiltonian Systems on [0, 1] |
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