Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter

DOI10.1002/mana.202000434OpenAlexW4307918918MaRDI QIDQ6047453

Julia V. Elyseeva

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000434

zbMATH Keywords

linear Hamiltonian systemscomparative indexfinite eigenvaluesspectral and oscillation theoryrelative and renormalized oscillation theory

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) 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)

Related Items

Generalized focal points and local Sturmian theory for linear Hamiltonian systems, Oscillation numbers for continuous Lagrangian paths and Maslov index

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