Generalized focal points and local Sturmian theory for linear Hamiltonian systems
DOI10.3934/dcds.2023082zbMath1530.37089OpenAlexW4385559572MaRDI QIDQ6085418
Roman Šimon Hilscher, Peter Šepitka
Publication date: 8 November 2023
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2023082
linear Hamiltonian systemcomparative indexSturmian separation theoremprincipal solutionLegendre conditionanti-Legendre conditiongeneralized left focal point
Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)
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