Geometric aspects of Sturm-Liouville problems II. Space of boundary conditions for left-definiteness

DOI10.1090/S0002-9947-03-03028-9zbMath1056.34037OpenAlexW1711639796MaRDI QIDQ4429741

Kevin Haertzen, Anton Zettl, Qing Kai Kong, Hongyou Wu

Publication date: 28 September 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-03-03028-9

zbMATH Keywords

left-definitenessregular Sturm-Liouville problemsspaces of boundary conditions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24)

Related Items (7)

Geometric aspects of Sturm-Liouville problems. III. Level surfaces of the \(n\)th eigenvalue ⋮ Classification of self-adjoint domains of odd-order differential operators with matrix theory ⋮ Dissipative non-self-adjoint Sturm-Liouville operators and completeness of their eigenfunctions ⋮ Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point ⋮ Left-definite Sturm-Liouville problems ⋮ Left-definite problems of regular self-adjoint differential equations of even order ⋮ Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs

Cites Work

• Inequalities among eigenvalues of Sturm-Liouville problems
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Singular Sturm-Liouville Problems: The Friedrichs Extension and Comparison of Eigenvalues
• Left-definite Sturm-Liouville problems
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