On the \(j\)th eigenvalue of Sturm-Liouville problem and the Maslov index

DOI10.1007/s10884-021-10107-0OpenAlexW2921236895WikidataQ115382938 ScholiaQ115382938MaRDI QIDQ2172773

Lei Liu, Xijun Hu, Li Wu, Hao Zhu

Publication date: 16 September 2022

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07943

zbMATH Keywords

eigenvalueSturm-Liouville problemboundary conditionMaslov indexLagrangian subspace

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Lagrangian submanifolds; Maslov index (53D12) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Singularity of the \(n\)-th eigenvalue of high dimensional Sturm-Liouville problems
• Index theory for symplectic paths with applications
• Morse index theorem of Lagrangian systems and stability of brake orbit
• An index theory for symplectic paths associated with two Lagrangian subspaces with applications
• On the maslov index
• Index theory in nonlinear analysis
• The Maslov Index in Symplectic Banach Spaces
• Maslov-Type Index Theory For Symplectic Paths With Lagrangian Boundary Conditions
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