The Maslov index and spectral counts for linear Hamiltonian systems on \([0, 1]\)

DOI10.1007/s10884-017-9625-zzbMath1404.37064OpenAlexW2765587253MaRDI QIDQ1616371

Bongsuk Kwon, Peter Howard, Soyeun Jung

Publication date: 6 November 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9625-z

zbMATH Keywords

Maslov indexlinear Hamiltonian systemsspectral counts

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Related Items

Renormalized oscillation theory for singular linear Hamiltonian systems ⋮ Hörmander's index and oscillation theory ⋮ Spectral analysis of \(\theta\)-periodic Schrödinger operators and applications to periodic waves ⋮ Hamiltonian Spectral Flows, the Maslov Index, and the Stability of Standing Waves in the Nonlinear Schrodinger Equation ⋮ Generalized focal points and local Sturmian theory for linear Hamiltonian systems ⋮ Oscillation numbers for continuous Lagrangian paths and Maslov index ⋮ Comparison theorems for conjoined bases of linear Hamiltonian systems without monotonicity ⋮ The Maslov index and spectral counts for linear Hamiltonian systems on \(\mathbb{R}\) ⋮ Renormalized oscillation theory for linear Hamiltonian systems on \([0, 1\) via the Maslov index]

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