Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval

DOI10.1016/j.jde.2021.06.037zbMath1478.37057OpenAlexW3180474810MaRDI QIDQ2048577

Peter Šepitka, Roman Šimon Hilscher

Publication date: 9 August 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.06.037

zbMATH Keywords

linear Hamiltonian systemlimit theoremfocal pointSturmian separation theoremprincipal solutionLidskii angle

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Dynamical systems in control (37N35) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Applications of generalized inverses (15A10)

Related Items

Oscillation numbers for continuous Lagrangian paths and Maslov index, Weak disconjugacy, weak controllability, and genera of conjoined bases for linear Hamiltonian systems

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