Variational principles for self-adjoint Hamiltonian systems

DOI10.1134/S0001434620030359zbMath1476.34175OpenAlexW3019788089MaRDI QIDQ2192019

Yanyan Li

Publication date: 26 June 2020

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434620030359

zbMATH Keywords

Hamiltonian systemestimates of eigenvalues

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) 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)

Related Items (3)

Existence results for a self-adjoint coupled system of three nonlinear ordinary differential equations with cyclic boundary conditions ⋮ Existence results for a self-adjoint coupled system of nonlinear second-order ordinary differential inclusions with nonlocal integral boundary conditions ⋮ Unnamed Item

Cites Work

• Existence conditions of negative eigenvalues in the regular Sturm-Liouville boundary value problem and explicit expressions for their number
• Discrete and continuous boundary problems

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