A generalisation of Niessen's limit-circle criterion

DOI10.1017/S0308210500009823zbMath0392.34013OpenAlexW1954860566MaRDI QIDQ4173669

Christer Bennewitz

Publication date: 1977

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500009823

zbMATH Keywords

Hilbert SpaceIntegrability ConditionsDirichlet IntegralNiessen's Limit-Circle CriterionSymmetric Ordinary Differential Operators

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (9)

On the number of solutions of right-definite problems with a convergent Dirichlet integral ⋮ On Dirichlet-integrable solutions of left-definite Hamiltonian systems ⋮ Left-definite Hamiltonian systems and corresponding nested circles ⋮ On properties of the Legendre differential expression ⋮ Scattering and inverse scattering for a left-definite Sturm-Liouville problem ⋮ A left-definite study of Legendre's differential equation and the fourth-order Legendre type differential equation ⋮ On the minimization of singular quadratic functional ⋮ A general version of the Hardy–Littlewood–Polya–Everitt (HELP) inequality ⋮ A limit point criterion with applications to nonselfadjoint equations

Cites Work

• Unnamed Item
• Spectral theory for pairs of differential operators
• Generalization of a Theorem of Everitt

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