Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions

DOI10.1007/s00209-015-1599-0zbMath1352.34037arXiv1504.01817OpenAlexW2964095981MaRDI QIDQ284800

Penghui Wang, Xijun Hu

Publication date: 18 May 2016

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

Full work available at URL: https://arxiv.org/abs/1504.01817

zbMATH Keywords

Hamiltonian systemstrace formulaHill-type formulaSturm-Liouville systems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items

Hill-type formula for Hamiltonian system with Lagrangian boundary conditions, A note on eigenvalues of a class of singular continuous and discrete linear Hamiltonian systems, Spectral flow, Brouwer degree and Hill's determinant formula, Singularity of the \(n\)-th eigenvalue of high dimensional Sturm-Liouville problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hill-type formula and Krein-type trace formula for \(S\)-periodic solutions in ODEs
• Conditional Fredholm determinant for the \(S\)-periodic orbits in Hamiltonian systems
• The Hill determinant of a periodic orbit
• Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
• Bott formula of the Maslov-type index theory
• Index theory for symplectic paths with applications
• On the existence of collisionless equivariant minimizers for the classical \(n\)-body problem
• Trace formula for linear Hamiltonian systems with its applications to elliptic Lagrangian solutions
• Hill’s formula for $g$-periodic trajectories of Lagrangian systems
• Hill's formula
• A Theorem on Infinite Products of Eigenvalues of Sturm-Liouville Type Operators
• Traces and determinants of linear operators