Oscillation theorems for linear Hamiltonian systems with nonlinear dependence on the spectral parameter and the comparative index

DOI10.1016/j.aml.2018.10.007zbMath1406.37046OpenAlexW2897669064WikidataQ129043530 ScholiaQ129043530MaRDI QIDQ1726573

Julia V. Elyseeva

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.007

zbMATH Keywords

comparative indexlinear Hamiltonian differential systemsspectral and oscillation theory

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items

Relative oscillation theory for linear Hamiltonian systems with nonlinear dependence on the spectral parameter, Oscillation numbers for continuous Lagrangian paths and Maslov index, Comparison theorems for conjoined bases of linear Hamiltonian systems without monotonicity, Distribution and number of focal points for linear Hamiltonian systems, Comparative index and Lidskii angles for symplectic matrices, Lidskii angles and Sturmian theory for linear Hamiltonian systems on compact interval

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